Search a number
-
+
457806504996 = 223223249032
BaseRepresentation
bin1101010100101110110…
…01001110010000100100
31121202200022201002021100
412222113121032100210
530000041431124441
6550151410120100
745034605041361
oct6522731162044
91552608632240
10457806504996
11167177923175
1274886580030
133422b803999
141822d5cd468
15bd967b6cb6
hex6a9764e424

457806504996 has 81 divisors (see below), whose sum is σ = 1209981963099. Its totient is φ = 145937520432.

The previous prime is 457806504979. The next prime is 457806505007. The reversal of 457806504996 is 699405608754.

The square root of 457806504996 is 676614.

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

457806504996 is a `hidden beast` number, since 4 + 5 + 7 + 80 + 65 + 0 + 499 + 6 = 666.

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, 93370281 + ... + 93375183.

Almost surely, 2457806504996 is an apocalyptic number.

457806504996 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

457806504996 is the 676614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457806504996

457806504996 is an abundant number, since it is smaller than the sum of its proper divisors (752175458103).

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

457806504996 is an equidigital number, since it uses as much as digits as its factorization.

457806504996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9862 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 457806504996 in words is "four hundred fifty-seven billion, eight hundred six million, five hundred four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 4903 6348 9522 9806 14709 19044 19612 29418 44127 58836 88254 112769 176508 225538 338307 451076 676614 1014921 1353228 2029842 2593687 4059684 5187374 7781061 10374748 15562122 23343183 24039409 31124244 46686366 48078818 72118227 93372732 96157636 144236454 216354681 288472908 432709362 552906407 865418724 1105812814 1658719221 2211625628 3317438442 4976157663 6634876884 9952315326 12716847361 19904630652 25433694722 38150542083 50867389444 76301084166 114451626249 152602168332 228903252498 457806504996