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151610661 = 32411572617
BaseRepresentation
bin10010000100101…
…10010100100101
3101120021121201200
421002112110211
5302303020121
623013313113
73520445406
oct1102262445
9346247650
10151610661
1178642374
1242935799
1325544067
14161c79ad
15d49ba26
hex9096525

151610661 has 24 divisors (see below), whose sum is σ = 225849624. Its totient is φ = 97943040.

The previous prime is 151610653. The next prime is 151610663. The reversal of 151610661 is 166016151.

It can be written as a sum of positive squares in 4 ways, for example, as 14861025 + 136749636 = 3855^2 + 11694^2 .

It is not a de Polignac number, because 151610661 - 23 = 151610653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151610663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56625 + ... + 59241.

It is an arithmetic number, because the mean of its divisors is an integer number (9410401).

Almost surely, 2151610661 is an apocalyptic number.

It is an amenable number.

151610661 is a deficient number, since it is larger than the sum of its proper divisors (74238963).

151610661 is a wasteful number, since it uses less digits than its factorization.

151610661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 151610661 is about 12313.0281003496. The cubic root of 151610661 is about 533.2242766164.

The spelling of 151610661 in words is "one hundred fifty-one million, six hundred ten thousand, six hundred sixty-one".

Divisors: 1 3 9 41 123 157 369 471 1413 2617 6437 7851 19311 23553 57933 107297 321891 410869 965673 1232607 3697821 16845629 50536887 151610661