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10506656531 = 76121992027
BaseRepresentation
bin10011100100011111…
…01101101100010011
31000010020010110020002
421302033231230103
5133004201002111
64454322040215
7521236051460
oct116217555423
930106113202
1010506656531
114501808618
1220527a906b
13cb5963337
1471956c667
154175dd63b
hex2723edb13

10506656531 has 24 divisors (see below), whose sum is σ = 12275078400. Its totient is φ = 8809210080.

The previous prime is 10506656513. The next prime is 10506656549. The reversal of 10506656531 is 13565660501.

It is an interprime number because it is at equal distance from previous prime (10506656513) and next prime (10506656549).

It is not a de Polignac number, because 10506656531 - 214 = 10506640147 is a prime.

It is a super-2 number, since 2×105066565312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10506656551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5182340 + ... + 5184366.

It is an arithmetic number, because the mean of its divisors is an integer number (511461600).

Almost surely, 210506656531 is an apocalyptic number.

10506656531 is a deficient number, since it is larger than the sum of its proper divisors (1768421869).

10506656531 is an equidigital number, since it uses as much as digits as its factorization.

10506656531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 38.

The spelling of 10506656531 in words is "ten billion, five hundred six million, six hundred fifty-six thousand, five hundred thirty-one".

Divisors: 1 7 61 199 427 1393 2027 3721 12139 14189 26047 84973 123647 403373 740479 865529 2823611 5183353 7542467 24605753 52797269 172240271 1500950933 10506656531