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13920460225 = 527233712
BaseRepresentation
bin11001111011011100…
…10101110111000001
31022221010210122111221
430331232111313001
5212002114211400
610221151435041
71001650650100
oct147556256701
938833718457
1013920460225
1159a3811891
122845b25a81
13140acb0119
14960ad0037
15567170c1a
hex33db95dc1

13920460225 has 27 divisors (see below), whose sum is σ = 20085511971. Its totient is φ = 9542626800.

The previous prime is 13920460207. The next prime is 13920460231. The reversal of 13920460225 is 52206402931.

The square root of 13920460225 is 117985.

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

It can be written as a sum of positive squares in only one way, i.e., 5011365681 + 8909094544 = 70791^2 + 94388^2 .

It is not a de Polignac number, because 13920460225 - 221 = 13918363073 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4127790 + ... + 4131160.

Almost surely, 213920460225 is an apocalyptic number.

13920460225 is the 117985-th square number.

13920460225 is the 58993-rd centered octagonal number.

It is an amenable number.

13920460225 is a deficient number, since it is larger than the sum of its proper divisors (6165051746).

13920460225 is an frugal number, since it uses more digits than its factorization.

13920460225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6766 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 13920460225 in words is "thirteen billion, nine hundred twenty million, four hundred sixty thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 3371 16855 23597 84275 117985 165179 589925 825895 4129475 11363641 56818205 79545487 284091025 397727435 556818409 1988637175 2784092045 13920460225