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10164520352 = 257409110947
BaseRepresentation
bin10010111011101101…
…00100010110100000
3222020101100010121202
421131312210112200
5131304104122402
64400340540332
7506612666060
oct113566442640
928211303552
1010164520352
114346674648
121b780b16a8
13c5cb015ac
146c5d4b3a0
153e7559b02
hex25dda45a0

10164520352 has 48 divisors (see below), whose sum is σ = 22926294720. Its totient is φ = 4345532928.

The previous prime is 10164520313. The next prime is 10164520363. The reversal of 10164520352 is 25302546101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36143 + ... + 147089.

It is an arithmetic number, because the mean of its divisors is an integer number (477631140).

Almost surely, 210164520352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10164520352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11463147360).

10164520352 is an abundant number, since it is smaller than the sum of its proper divisors (12761774368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10164520352 is a wasteful number, since it uses less digits than its factorization.

10164520352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111373 (or 111365 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 10164520352 in words is "ten billion, one hundred sixty-four million, five hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 409 818 1636 2863 3272 5726 6544 11452 13088 22904 45808 91616 110947 221894 443788 776629 887576 1553258 1775152 3106516 3550304 6213032 12426064 24852128 45377323 90754646 181509292 317641261 363018584 635282522 726037168 1270565044 1452074336 2541130088 5082260176 10164520352