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91279515625 = 5624172
BaseRepresentation
bin101010100000010101…
…1101101111111101001
322201121102111211120221
41111000223231333221
52443420024000000
6105533324450041
76410664036544
oct1250053557751
9281542454527
1091279515625
11357909a8121
12158353a9921
1387b8c3750c
1445bcc0985b
15259387261a
hex1540aedfe9

91279515625 has 21 divisors (see below), whose sum is σ = 114145160017. Its totient is φ = 72993400000.

The previous prime is 91279515617. The next prime is 91279515661. The reversal of 91279515625 is 52651597219.

The square root of 91279515625 is 302125.

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

It can be written as a sum of positive squares in 10 ways, for example, as 87789541849 + 3489973776 = 296293^2 + 59076^2 .

It is not a de Polignac number, because 91279515625 - 23 = 91279515617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 37764417 + ... + 37766833.

Almost surely, 291279515625 is an apocalyptic number.

91279515625 is the 302125-th square number.

91279515625 is the 151063-rd centered octagonal number.

It is an amenable number.

91279515625 is a deficient number, since it is larger than the sum of its proper divisors (22865644392).

91279515625 is an frugal number, since it uses more digits than its factorization.

91279515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 2422 counting only the distinct ones).

The product of its digits is 1701000, while the sum is 52.

The spelling of 91279515625 in words is "ninety-one billion, two hundred seventy-nine million, five hundred fifteen thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 2417 3125 12085 15625 60425 302125 1510625 5841889 7553125 29209445 37765625 146047225 730236125 3651180625 18255903125 91279515625