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91225617680 = 2454092788069
BaseRepresentation
bin101010011110101111…
…0000111010100010000
322201110200002112111202
41110331132013110100
52443312224231210
6105524121330332
76406440645641
oct1247536072420
9281420075452
1091225617680
113576353486a
121581b3369a8
1387aaa15b42
1445b59b96c8
15258dc779a5
hex153d787510

91225617680 has 40 divisors (see below), whose sum is σ = 212618218200. Its totient is φ = 36401015808.

The previous prime is 91225617667. The next prime is 91225617697. The reversal of 91225617680 is 8671652219.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 53141314576 + 38084303104 = 230524^2 + 195152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×912256176802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1361315 + ... + 1426754.

It is an arithmetic number, because the mean of its divisors is an integer number (5315455455).

Almost surely, 291225617680 is an apocalyptic number.

It is an amenable number.

91225617680 is an abundant number, since it is smaller than the sum of its proper divisors (121392600520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91225617680 is a wasteful number, since it uses less digits than its factorization.

91225617680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788491 (or 2788485 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 91225617680 in words is "ninety-one billion, two hundred twenty-five million, six hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 409 818 1636 2045 3272 4090 6544 8180 16360 32720 2788069 5576138 11152276 13940345 22304552 27880690 44609104 55761380 111522760 223045520 1140320221 2280640442 4561280884 5701601105 9122561768 11403202210 18245123536 22806404420 45612808840 91225617680