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163132433006004 = 2232711457128774801
BaseRepresentation
bin100101000101111000111010…
…101110000111110110110100
3210101121022022202001002010100
4211011320322232013312310
5132340230210322143004
61334542001035354100
746234633523414310
oct4505707256076664
9711538282032110
10163132433006004
1147a8509263a550
12163681a98b2930
13700442649ca77
142c3d91aabcb40
1513cd6b0320739
hex945e3ab87db4

163132433006004 has 144 divisors (see below), whose sum is σ = 515239314984576. Its totient is φ = 42279342336000.

The previous prime is 163132433005991. The next prime is 163132433006017. The reversal of 163132433006004 is 400600334231361.

163132433006004 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 3 + 2 + 43 + 3 + 0 + 0 + 600 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (163132433005991) and next prime (163132433006017).

It is a super-2 number, since 2×1631324330060042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 163132433006004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63120597 + ... + 65654204.

It is an arithmetic number, because the mean of its divisors is an integer number (3578050798504).

Almost surely, 2163132433006004 is an apocalyptic number.

163132433006004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

163132433006004 is an abundant number, since it is smaller than the sum of its proper divisors (352106881978572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163132433006004 is a wasteful number, since it uses less digits than its factorization.

163132433006004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128775286 (or 128775281 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 163132433006004 its reverse (400600334231361), we get a palindrome (563732767237365).

The spelling of 163132433006004 in words is "one hundred sixty-three trillion, one hundred thirty-two billion, four hundred thirty-three million, six thousand, four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 457 462 693 914 924 1371 1386 1828 2742 2772 3199 4113 5027 5484 6398 8226 9597 10054 12796 15081 16452 19194 20108 28791 30162 35189 38388 45243 57582 60324 70378 90486 105567 115164 140756 180972 211134 316701 422268 633402 1266804 128774801 257549602 386324403 515099204 772648806 901423607 1158973209 1416522811 1545297612 1802847214 2317946418 2704270821 2833045622 3605694428 4249568433 4635892836 5408541642 5666091244 8112812463 8499136866 9915659677 10817083284 12748705299 16225624926 16998273732 19831319354 25497410598 29746979031 32451249852 39662638708 50994821196 58850084057 59493958062 89240937093 117700168114 118987916124 176550252171 178481874186 235400336228 353100504342 356963748372 411950588399 529650756513 647350924627 706201008684 823901176798 1059301513026 1235851765197 1294701849254 1647802353596 1942052773881 2118603026052 2471703530394 2589403698508 3707555295591 3884105547762 4531456472389 4943407060788 5826158321643 7415110591182 7768211095524 9062912944778 11652316643286 13594369417167 14830221182364 18125825889556 23304633286572 27188738834334 40783108251501 54377477668668 81566216503002 163132433006004