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12455676025 = 521321721012
BaseRepresentation
bin10111001100110101…
…01000100001111001
31012011001112220100021
423212122220201321
5201002123113100
65415544210441
7620443333162
oct134632504171
935131486307
1012455676025
1153119a4831
1224b7469a21
13123669ac00
14862356769
154cd780a1a
hex2e66a8879

12455676025 has 81 divisors (see below), whose sum is σ = 17943818133. Its totient is φ = 8571264000.

The previous prime is 12455676019. The next prime is 12455676049. The reversal of 12455676025 is 52067655421.

The square root of 12455676025 is 111605.

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

12455676025 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 40 ways, for example, as 10999185129 + 1456490896 = 104877^2 + 38164^2 .

It is not a de Polignac number, because 12455676025 - 23 = 12455676017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 123323475 + ... + 123323575.

Almost surely, 212455676025 is an apocalyptic number.

12455676025 is the 111605-th square number.

12455676025 is the 55803-rd centered octagonal number.

It is an amenable number.

12455676025 is a deficient number, since it is larger than the sum of its proper divisors (5488142108).

12455676025 is a wasteful number, since it uses less digits than its factorization.

12455676025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 43.

The spelling of 12455676025 in words is "twelve billion, four hundred fifty-five million, six hundred seventy-six thousand, twenty-five".

Divisors: 1 5 13 17 25 65 85 101 169 221 289 325 425 505 845 1105 1313 1445 1717 2525 2873 3757 4225 5525 6565 7225 8585 10201 14365 17069 18785 22321 29189 32825 42925 48841 51005 71825 85345 93925 111605 132613 145945 173417 244205 255025 290173 379457 426725 558025 663065 729725 867085 1221025 1450865 1723969 1897285 2254421 2948089 3315325 4335425 4932941 7254325 8619845 9486425 11272105 14740445 24664705 29307473 38325157 43099225 56360525 73702225 123323525 146537365 191625785 498227041 732686825 958128925 2491135205 12455676025