Search a number
-
+
470259179964 = 2232719491200033
BaseRepresentation
bin1101101011111011010…
…00011010000110111100
31122221211011121111221100
412311331220122012330
530201042322224324
61000011210133100
745655314035250
oct6657550320674
91587734544840
10470259179964
11171488058192
1277180a21190
1335464690902
1418a913a4260
15c374b534c9
hex6d7da1a1bc

470259179964 has 144 divisors (see below), whose sum is σ = 1432947559680. Its totient is φ = 127028321280.

The previous prime is 470259179963. The next prime is 470259179981. The reversal of 470259179964 is 469971952074.

470259179964 is a `hidden beast` number, since 470 + 2 + 5 + 9 + 1 + 79 + 96 + 4 = 666.

It is a super-2 number, since 2×4702591799642 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470259179963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2250892 + ... + 2450924.

It is an arithmetic number, because the mean of its divisors is an integer number (9951024720).

Almost surely, 2470259179964 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 470259179964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716473779840).

470259179964 is an abundant number, since it is smaller than the sum of its proper divisors (962688379716).

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

470259179964 is a wasteful number, since it uses less digits than its factorization.

470259179964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200560 (or 200555 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 470259179964 in words is "four hundred seventy billion, two hundred fifty-nine million, one hundred seventy-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 491 532 684 798 982 1197 1473 1596 1964 2394 2946 3437 4419 4788 5892 6874 8838 9329 10311 13748 17676 18658 20622 27987 30933 37316 41244 55974 61866 65303 83961 111948 123732 130606 167922 195909 200033 261212 335844 391818 400066 587727 600099 783636 800132 1175454 1200198 1400231 1800297 2350908 2400396 2800462 3600594 3800627 4200693 5600924 7201188 7601254 8401386 11401881 12602079 15202508 16802772 22803762 25204158 26604389 34205643 45607524 50408316 53208778 68411286 79813167 98216203 106417556 136822572 159626334 196432406 239439501 294648609 319252668 392864812 478879002 589297218 687513421 883945827 957758004 1178594436 1375026842 1767891654 1866107857 2062540263 2750053684 3535783308 3732215714 4125080526 5598323571 6187620789 7464431428 8250161052 11196647142 12375241578 13062754999 16794970713 22393294284 24750483156 26125509998 33589941426 39188264997 52251019996 67179882852 78376529994 117564794991 156753059988 235129589982 470259179964