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10153725512 = 237244957689
BaseRepresentation
bin10010111010011010…
…11000111001001000
3222012122000200212212
421131031120321020
5131243323204022
64355313324252
7506422146200
oct113515307110
928178020785
1010153725512
114340571297
121b74566688
13c5a7c2008
146c473b400
153e66263e2
hex25d358e48

10153725512 has 48 divisors (see below), whose sum is σ = 22196227500. Its totient is φ = 4341829632.

The previous prime is 10153725503. The next prime is 10153725539. The reversal of 10153725512 is 21552735101.

It can be written as a sum of positive squares in 2 ways, for example, as 9961237636 + 192487876 = 99806^2 + 13874^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147164 + ... + 204852.

Almost surely, 210153725512 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 10153725512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11098113750).

10153725512 is an abundant number, since it is smaller than the sum of its proper divisors (12042501988).

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

10153725512 is a wasteful number, since it uses less digits than its factorization.

10153725512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58158 (or 58147 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 32.

The spelling of 10153725512 in words is "ten billion, one hundred fifty-three million, seven hundred twenty-five thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 449 898 1796 3143 3592 6286 12572 22001 25144 44002 57689 88004 115378 176008 230756 403823 461512 807646 1615292 2826761 3230584 5653522 11307044 22614088 25902361 51804722 103609444 181316527 207218888 362633054 725266108 1269215689 1450532216 2538431378 5076862756 10153725512