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10506624325 = 521724721469
BaseRepresentation
bin10011100100011111…
…00101110101000101
31000010020001211001021
421302033211311011
5133004143434300
64454321231141
7521235555541
oct116217456505
930106054037
1010506624325
1145017963aa
1220527924b1
13cb5951792
14719560a21
154175d3d1a
hex2723e5d45

10506624325 has 12 divisors (see below), whose sum is σ = 13794580260. Its totient is φ = 7910869760.

The previous prime is 10506624299. The next prime is 10506624329. The reversal of 10506624325 is 52342660501.

It can be written as a sum of positive squares in 6 ways, for example, as 1152059364 + 9354564961 = 33942^2 + 96719^2 .

It is a de Polignac number, because none of the positive numbers 2k-10506624325 is a prime.

It is a super-2 number, since 2×105066243252 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506624329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12360310 + ... + 12361159.

It is an arithmetic number, because the mean of its divisors is an integer number (1149548355).

Almost surely, 210506624325 is an apocalyptic number.

It is an amenable number.

10506624325 is a deficient number, since it is larger than the sum of its proper divisors (3287955935).

10506624325 is a wasteful number, since it uses less digits than its factorization.

10506624325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24721496 (or 24721491 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 10506624325 in words is "ten billion, five hundred six million, six hundred twenty-four thousand, three hundred twenty-five".

Divisors: 1 5 17 25 85 425 24721469 123607345 420264973 618036725 2101324865 10506624325