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52563404016 = 24322349132323
BaseRepresentation
bin110000111101000001…
…011110010011110000
312000200020022120212100
4300331001132103300
51330122212412031
640051452100400
73540366363564
oct607501362360
9160606276770
1052563404016
1120323742472
12a22b464700
134c58b6b636
142788d676a4
151579946de6
hexc3d05e4f0

52563404016 has 120 divisors (see below), whose sum is σ = 153817762176. Its totient is φ = 16724695680.

The previous prime is 52563403999. The next prime is 52563404021. The reversal of 52563404016 is 61040436525.

52563404016 is a `hidden beast` number, since 5 + 2 + 5 + 634 + 0 + 4 + 0 + 16 = 666.

It is a super-2 number, since 2×525634040162 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1610031 + ... + 1642353.

Almost surely, 252563404016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52563404016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76908881088).

52563404016 is an abundant number, since it is smaller than the sum of its proper divisors (101254358160).

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

52563404016 is a wasteful number, since it uses less digits than its factorization.

52563404016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32851 (or 32842 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 52563404016 in words is "fifty-two billion, five hundred sixty-three million, four hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 491 552 828 982 1104 1473 1656 1964 2946 3312 3928 4419 5892 7856 8838 11293 11784 17676 22586 23568 32323 33879 35352 45172 64646 67758 70704 90344 96969 101637 129292 135516 180688 193938 203274 258584 271032 290907 387876 406548 517168 542064 581814 743429 775752 813096 1163628 1486858 1551504 1626192 2230287 2327256 2973716 4460574 4654512 5947432 6690861 8921148 11894864 13381722 15870593 17842296 26763444 31741186 35684592 47611779 53526888 63482372 95223558 107053776 126964744 142835337 190447116 253929488 285670674 365023639 380894232 571341348 730047278 761788464 1095070917 1142682696 1460094556 2190141834 2285365392 2920189112 3285212751 4380283668 5840378224 6570425502 8760567336 13140851004 17521134672 26281702008 52563404016