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432813988996 = 224127121132
BaseRepresentation
bin1100100110001011011…
…10010101110010000100
31112101011112212201120121
412103011232111302010
524042400340121441
6530455413511324
743161351130264
oct6230556256204
91471145781517
10432813988996
11157612238a74
126ba70642544
1331a779baa8c
1416d3c2337a4
15b3d25c1dd1
hex64c5b95c84

432813988996 has 81 divisors (see below), whose sum is σ = 794467465519. Its totient is φ = 206313049600.

The previous prime is 432813988967. The next prime is 432813989033. The reversal of 432813988996 is 699889318234.

The square root of 432813988996 is 657886.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 380676660100 + 52137328896 = 616990^2 + 228336^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3830212236 + ... + 3830212348.

Almost surely, 2432813988996 is an apocalyptic number.

432813988996 is the 657886-th square number.

It is an amenable number.

432813988996 is a deficient number, since it is larger than the sum of its proper divisors (361653476523).

432813988996 is an equidigital number, since it uses as much as digits as its factorization.

432813988996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 70.

The spelling of 432813988996 in words is "four hundred thirty-two billion, eight hundred thirteen million, nine hundred eighty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 4 41 71 82 113 142 164 226 284 452 1681 2911 3362 4633 5041 5822 6724 8023 9266 10082 11644 12769 16046 18532 20164 25538 32092 51076 119351 189953 206681 238702 328943 379906 413362 477404 523529 569633 657886 759812 826724 906599 1047058 1139266 1315772 1813198 2094116 2278532 3626396 8473921 13486663 16947842 21464689 23354953 26973326 33895684 37170559 42929378 46709906 53946652 64368529 74341118 85858756 93419812 128737058 148682236 257474116 957553073 1523992919 1915106146 2639109689 3047985838 3830212292 5278219378 6095971676 10556438756 108203497249 216406994498 432813988996