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13722951025 = 527233472
BaseRepresentation
bin11001100011111001…
…11001110101110001
31022102101011010211101
430301330321311301
5211101033413100
610145414244401
7664032105400
oct146174716561
938371133741
1013722951025
115902280243
1227ab956701
1313a90b8784
14942799637
15554b5986a
hex331f39d71

13722951025 has 27 divisors (see below), whose sum is σ = 19800572619. Its totient is φ = 9407212080.

The previous prime is 13722951013. The next prime is 13722951037. The reversal of 13722951025 is 52015922731.

It is a happy number.

The square root of 13722951025 is 117145.

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

It is an interprime number because it is at equal distance from previous prime (13722951013) and next prime (13722951037).

It can be written as a sum of positive squares in only one way, i.e., 4940262369 + 8782688656 = 70287^2 + 93716^2 .

It is not a de Polignac number, because 13722951025 - 225 = 13689396593 is a prime.

It is a Duffinian number.

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, 4098402 + ... + 4101748.

Almost surely, 213722951025 is an apocalyptic number.

13722951025 is the 117145-th square number.

13722951025 is the 58573-rd centered octagonal number.

It is an amenable number.

13722951025 is a deficient number, since it is larger than the sum of its proper divisors (6077621594).

13722951025 is an frugal number, since it uses more digits than its factorization.

13722951025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6718 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 13722951025 in words is "thirteen billion, seven hundred twenty-two million, nine hundred fifty-one thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 3347 16735 23429 83675 117145 164003 585725 820015 4100075 11202409 56012045 78416863 280060225 392084315 548918041 1960421575 2744590205 13722951025