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10057653312 = 26377483373
BaseRepresentation
bin10010101110111101…
…11001110001000000
3221221221020201121020
421113132321301000
5131044224401222
64342002225440
7504144433260
oct112736716100
927857221536
1010057653312
1142a1312883
121b48355280
13c43925265
146b5a8d7a0
153dce9a65c
hex2577b9c40

10057653312 has 56 divisors (see below), whose sum is σ = 30412431936. Its totient is φ = 2873614848.

The previous prime is 10057653283. The next prime is 10057653317. The reversal of 10057653312 is 21335675001.

10057653312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (10057653317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3740343 + ... + 3743030.

Almost surely, 210057653312 is an apocalyptic number.

10057653312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10057653312 is an abundant number, since it is smaller than the sum of its proper divisors (20354778624).

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

10057653312 is an equidigital number, since it uses as much as digits as its factorization.

10057653312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7483395 (or 7483385 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The spelling of 10057653312 in words is "ten billion, fifty-seven million, six hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 7483373 14966746 22450119 29933492 44900238 52383611 59866984 89800476 104767222 119733968 157150833 179600952 209534444 239467936 314301666 359201904 419068888 478935872 628603332 718403808 838137776 1257206664 1436807616 1676275552 2514413328 3352551104 5028826656 10057653312