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16252425261 = 3261230912821
BaseRepresentation
bin11110010001011100…
…00101010000101101
31112221122210202011100
433020232011100231
5231241110102021
611244413513313
71113515223012
oct171056052055
945848722140
1016252425261
116990085716
123196aa2839
1316c01677a7
14b026bd709
15651c58626
hex3c8b8542d

16252425261 has 24 divisors (see below), whose sum is σ = 23872768920. Its totient is φ = 10651881600.

The previous prime is 16252425239. The next prime is 16252425307.

16252425261 is a `hidden beast` number, since 1 + 625 + 2 + 4 + 2 + 5 + 26 + 1 = 666.

16252425261 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 36 + 16252425225 = 6^2 + 127485^2 .

It is not a de Polignac number, because 16252425261 - 230 = 15178683437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16252425361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1261231 + ... + 1274051.

It is an arithmetic number, because the mean of its divisors is an integer number (994698705).

Almost surely, 216252425261 is an apocalyptic number.

It is an amenable number.

16252425261 is a deficient number, since it is larger than the sum of its proper divisors (7620343659).

16252425261 is a wasteful number, since it uses less digits than its factorization.

16252425261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15197 (or 15194 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Subtracting from 16252425261 its sum of digits (36), we obtain a square (16252425225 = 1274852).

The spelling of 16252425261 in words is "sixteen billion, two hundred fifty-two million, four hundred twenty-five thousand, two hundred sixty-one".

Divisors: 1 3 9 61 183 549 2309 6927 12821 20781 38463 115389 140849 422547 782081 1267641 2346243 7038729 29603689 88811067 266433201 1805825029 5417475087 16252425261