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151068681 = 321722412
BaseRepresentation
bin10010000000100…
…10000000001001
3101112021002021100
421000102000021
5302133144211
622553532013
73513030321
oct1100220011
9345232240
10151068681
1178302155
1242714009
13253b446a
14160c6281
15d3e1156
hex9012009

151068681 has 27 divisors (see below), whose sum is σ = 232767093. Its totient is φ = 94394880.

The previous prime is 151068587. The next prime is 151068703. The reversal of 151068681 is 186860151.

The square root of 151068681 is 12291.

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

151068681 is a `hidden beast` number, since 1 + 510 + 68 + 6 + 81 = 666.

151068681 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 4 ways, for example, as 42575625 + 108493056 = 6525^2 + 10416^2 .

It is not a de Polignac number, because 151068681 - 27 = 151068553 is a prime.

It is a super-2 number, since 2×1510686812 = 45643492758159522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (151063681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 626721 + ... + 626961.

Almost surely, 2151068681 is an apocalyptic number.

151068681 is the 12291-st square number.

151068681 is the 6146-th centered octagonal number.

It is an amenable number.

151068681 is a deficient number, since it is larger than the sum of its proper divisors (81698412).

151068681 is an equidigital number, since it uses as much as digits as its factorization.

151068681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The cubic root of 151068681 is about 532.5881253343.

Multiplying 151068681 by its sum of digits (36), we get a square (5438472516 = 737462).

The spelling of 151068681 in words is "one hundred fifty-one million, sixty-eight thousand, six hundred eighty-one".

Divisors: 1 3 9 17 51 153 241 289 723 867 2169 2601 4097 12291 36873 58081 69649 174243 208947 522729 626841 987377 2962131 8886393 16785409 50356227 151068681