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36890500761 = 34213412
BaseRepresentation
bin100010010110110110…
…000101111010011001
310112012221222121110000
4202112312011322121
51101022432011021
624540335243213
72444116040232
oct422666057231
9115187877400
1036890500761
11147107a9264
127196679509
13362baac89a
141add620089
15e5da13b26
hex896d85e99

36890500761 has 15 divisors (see below), whose sum is σ = 55110614383. Its totient is φ = 24592514760.

The previous prime is 36890500741. The next prime is 36890500807. The reversal of 36890500761 is 16700509863.

It is a happy number.

The square root of 36890500761 is 192069.

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

36890500761 is a `hidden beast` number, since 3 + 6 + 89 + 0 + 500 + 7 + 61 = 666.

36890500761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 36717841161 + 172659600 = 191619^2 + 13140^2 .

It is not a de Polignac number, because 36890500761 - 211 = 36890498713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36890500721) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1717951 + ... + 1739291.

Almost surely, 236890500761 is an apocalyptic number.

36890500761 is the 192069-th square number.

36890500761 is the 96035-th centered octagonal number.

It is an amenable number.

36890500761 is a deficient number, since it is larger than the sum of its proper divisors (18220113622).

36890500761 is an frugal number, since it uses more digits than its factorization.

36890500761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42694 (or 21344 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 36890500761 in words is "thirty-six billion, eight hundred ninety million, five hundred thousand, seven hundred sixty-one".

Divisors: 1 3 9 27 81 21341 64023 192069 576207 1728621 455438281 1366314843 4098944529 12296833587 36890500761