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10075838832 = 24347774567
BaseRepresentation
bin10010110001001000…
…10001100101110000
3222000012110122110000
421120210101211300
5131113403320312
64343452110000
7504455134263
oct113044214560
928005418400
1010075838832
114300603934
121b52465300
13c47621817
146b8264cda
153de88dadc
hex258911970

10075838832 has 50 divisors (see below), whose sum is σ = 29162404568. Its totient is φ = 3358612512.

The previous prime is 10075838821. The next prime is 10075838837. The reversal of 10075838832 is 23883857001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10075838837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3885988 + ... + 3888579.

Almost surely, 210075838832 is an apocalyptic number.

10075838832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10075838832 is an abundant number, since it is smaller than the sum of its proper divisors (19086565736).

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

10075838832 is an equidigital number, since it uses as much as digits as its factorization.

10075838832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7774587 (or 7774572 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10075838832 in words is "ten billion, seventy-five million, eight hundred thirty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 7774567 15549134 23323701 31098268 46647402 62196536 69971103 93294804 124393072 139942206 186589608 209913309 279884412 373179216 419826618 559768824 629739927 839653236 1119537648 1259479854 1679306472 2518959708 3358612944 5037919416 10075838832