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350883553116996 = 223231219812
BaseRepresentation
bin100111111001000000111000…
…1100010101000001101000100
31201000101010210010011201012100
41033302001301202220031010
5331442334004044220441
63242133402355152100
7133623333355613424
oct11762016142501504
91630333703151170
10350883553116996
11a1890974245809
123342b6bbba5630
13120a323c082953
146290bd6da8484
152a87446b7ecb6
hex13f20718a8344

350883553116996 has 27 divisors (see below), whose sum is σ = 886955932257213. Its totient is φ = 116961146908560.

The previous prime is 350883553116991. The next prime is 350883553117001. The reversal of 350883553116996 is 699611355388053.

The square root of 350883553116996 is 18731886.

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

350883553116996 is a `hidden beast` number, since 3 + 5 + 0 + 8 + 8 + 3 + 553 + 1 + 1 + 69 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (350883553116991) and next prime (350883553117001).

It can be written as a sum of positive squares in only one way, i.e., 10892732571396 + 339990820545600 = 3300414^2 + 18438840^2 .

It is not an unprimeable number, because it can be changed into a prime (350883553116991) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 110830326 + ... + 113952306.

Almost surely, 2350883553116996 is an apocalyptic number.

350883553116996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

350883553116996 is the 18731886-th square number.

It is an amenable number.

350883553116996 is an abundant number, since it is smaller than the sum of its proper divisors (536072379140217).

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

350883553116996 is an frugal number, since it uses more digits than its factorization.

350883553116996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6243972 (or 3121986 counting only the distinct ones).

The product of its (nonzero) digits is 629856000, while the sum is 72.

The spelling of 350883553116996 in words is "three hundred fifty trillion, eight hundred eighty-three billion, five hundred fifty-three million, one hundred sixteen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 3121981 6243962 9365943 12487924 18731886 28097829 37463772 56195658 112391316 9746765364361 19493530728722 29240296093083 38987061457444 58480592186166 87720888279249 116961184372332 175441776558498 350883553116996