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90664221025 = 527412292
BaseRepresentation
bin101010001110000000…
…0100011100101100001
322200000112201122002001
41110130000203211201
52441140020033100
6105352304524001
76356513110000
oct1243400434541
9280015648061
1090664221025
11354a5653194
12156a3320601
13871b615181
144561200c37
152559832d6a
hex151c023961

90664221025 has 45 divisors (see below), whose sum is σ = 131259904601. Its totient is φ = 62119165920.

The previous prime is 90664221023. The next prime is 90664221031. The reversal of 90664221025 is 52012246609.

The square root of 90664221025 is 301105.

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 23118290209 + 67545930816 = 152047^2 + 259896^2 .

It is not a de Polignac number, because 90664221025 - 21 = 90664221023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90664221023) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 73770111 + ... + 73771339.

Almost surely, 290664221025 is an apocalyptic number.

90664221025 is the 301105-th square number.

90664221025 is the 150553-rd centered octagonal number.

It is an amenable number.

90664221025 is a deficient number, since it is larger than the sum of its proper divisors (40595683576).

90664221025 is an frugal number, since it uses more digits than its factorization.

90664221025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 90664221025 in words is "ninety billion, six hundred sixty-four million, two hundred twenty-one thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 343 1225 1229 1715 2401 6145 8575 8603 12005 30725 43015 60025 60221 215075 301105 421547 1505525 1510441 2107735 2950829 7552205 10538675 10573087 14754145 37761025 52865435 73770725 74011609 264327175 370058045 518081263 1850290225 2590406315 3626568841 12952031575 18132844205 90664221025