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90346532929 = 172176812
BaseRepresentation
bin101010000100100010…
…0101011000001000001
322122012101221101221021
41110021010223001001
52440012203023204
6105300555425441
76345604600432
oct1241104530101
9278171841837
1090346532929
1135352298444
1215614a55281
13869a863353
144530d45489
15253b9cd154
hex150912b041

90346532929 has 9 divisors (see below), whose sum is σ = 95979081001. Its totient is φ = 85027221760.

The previous prime is 90346532917. The next prime is 90346532951. The reversal of 90346532929 is 92923564309.

The square root of 90346532929 is 300577.

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

It can be written as a sum of positive squares in 4 ways, for example, as 317730625 + 90028802304 = 17825^2 + 300048^2 .

It is not a de Polignac number, because 90346532929 - 223 = 90338144321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90346532999) 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, 5100969 + ... + 5118649.

Almost surely, 290346532929 is an apocalyptic number.

90346532929 is the 300577-th square number.

90346532929 is the 150289-th centered octagonal number.

It is an amenable number.

90346532929 is a deficient number, since it is larger than the sum of its proper divisors (5632548072).

90346532929 is an frugal number, since it uses more digits than its factorization.

90346532929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35396 (or 17698 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 52.

The spelling of 90346532929 in words is "ninety billion, three hundred forty-six million, five hundred thirty-two thousand, nine hundred twenty-nine".

Divisors: 1 17 289 17681 300577 5109809 312617761 5314501937 90346532929