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10345782956 = 221753254163
BaseRepresentation
bin10011010001010100…
…00001111010101100
3222201000102020011112
421220222001322230
5132142010023311
64430334011152
7514243463345
oct115052017254
928630366145
1010345782956
114429a19953
122008946ab8
13c8b528082
147020530cc
1540841228b
hex268a81eac

10345782956 has 36 divisors (see below), whose sum is σ = 19539013032. Its totient is φ = 4776655104.

The previous prime is 10345782919. The next prime is 10345782959. The reversal of 10345782956 is 65928754301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10345782959) 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, 163931 + ... + 218093.

It is an arithmetic number, because the mean of its divisors is an integer number (542750362).

It is a 1-persistent number, because it is pandigital, but 2⋅10345782956 = 20691565912 is not.

Almost surely, 210345782956 is an apocalyptic number.

It is an amenable number.

10345782956 is a deficient number, since it is larger than the sum of its proper divisors (9193230076).

10345782956 is a wasteful number, since it uses less digits than its factorization.

10345782956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54290 (or 54235 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 10345782956 in words is "ten billion, three hundred forty-five million, seven hundred eighty-two thousand, nine hundred fifty-six".

Divisors: 1 2 4 17 34 53 68 106 212 901 1802 2809 3604 5618 11236 47753 54163 95506 108326 191012 216652 920771 1841542 2870639 3683084 5741278 11482556 48800863 97601726 152143867 195203452 304287734 608575468 2586445739 5172891478 10345782956