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152692596081 = 321302532
BaseRepresentation
bin1000111000110100110…
…0000001110101110001
3112121010102001120022100
42032031030001311301
510000203301033311
6154051312131013
714013602436414
oct2161514016561
9477112046270
10152692596081
1159835a98473
1225714536a69
1311525372b8c
147567217b7b
153e8a1a0a56
hex238d301d71

152692596081 has 9 divisors (see below), whose sum is σ = 220557665419. Its totient is φ = 101794282536.

The previous prime is 152692596031. The next prime is 152692596103. The reversal of 152692596081 is 180695296251.

The square root of 152692596081 is 390759.

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

152692596081 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 9 + 25 + 9 + 608 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53520509025 + 99172087056 = 231345^2 + 314916^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 152692596081 - 225 = 152659041649 is a prime.

It is a super-2 number, since 2×1526925960812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152692596031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1107151 + ... + 1237403.

Almost surely, 2152692596081 is an apocalyptic number.

152692596081 is the 390759-th square number.

152692596081 is the 195380-th centered octagonal number.

It is an amenable number.

152692596081 is a deficient number, since it is larger than the sum of its proper divisors (67865069338).

152692596081 is an frugal number, since it uses more digits than its factorization.

152692596081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260512 (or 130256 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 152692596081 in words is "one hundred fifty-two billion, six hundred ninety-two million, five hundred ninety-six thousand, eighty-one".

Divisors: 1 3 9 130253 390759 1172277 16965844009 50897532027 152692596081