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10135257328 = 247293120461
BaseRepresentation
bin10010111000001101…
…11100000011110000
3222011100021102022001
421130012330003300
5131224111213303
64353413423344
7506106160120
oct113406740360
928140242261
1010135257328
1143310a7929
121b6a33ab54
13c56a26bb1
146c20d0c80
153e4bc931d
hex25c1bc0f0

10135257328 has 40 divisors (see below), whose sum is σ = 23216237280. Its totient is φ = 4193898240.

The previous prime is 10135257311. The next prime is 10135257367. The reversal of 10135257328 is 82375253101.

It is a super-2 number, since 2×101352573282 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 1556983 + ... + 1563478.

It is an arithmetic number, because the mean of its divisors is an integer number (580405932).

Almost surely, 210135257328 is an apocalyptic number.

It is an amenable number.

10135257328 is an abundant number, since it is smaller than the sum of its proper divisors (13080979952).

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

10135257328 is a wasteful number, since it uses less digits than its factorization.

10135257328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120505 (or 3120499 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 10135257328 in words is "ten billion, one hundred thirty-five million, two hundred fifty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248 3120461 6240922 12481844 21843227 24963688 43686454 49927376 87372908 90493369 174745816 180986738 349491632 361973476 633453583 723946952 1266907166 1447893904 2533814332 5067628664 10135257328