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10057548072 = 23311213266411
BaseRepresentation
bin10010101110111101…
…00000000100101000
3221221221001101020110
421113132200010220
5131044213014242
64342000054320
7504143514405
oct112736400450
927857041213
1010057548072
1142a1250800
121b483043a0
13c438b93a0
146b5a632ac
153dce7939c
hex2577a0128

10057548072 has 96 divisors (see below), whose sum is σ = 29763548640. Its totient is φ = 2813289600.

The previous prime is 10057548043. The next prime is 10057548073. The reversal of 10057548072 is 27084575001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10057548072.

It is not an unprimeable number, because it can be changed into a prime (10057548073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95454 + ... + 170957.

It is an arithmetic number, because the mean of its divisors is an integer number (310036965).

Almost surely, 210057548072 is an apocalyptic number.

10057548072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10057548072 is an abundant number, since it is smaller than the sum of its proper divisors (19706000568).

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

10057548072 is a wasteful number, since it uses less digits than its factorization.

10057548072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266455 (or 266440 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 39.

The spelling of 10057548072 in words is "ten billion, fifty-seven million, five hundred forty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 121 132 143 156 242 264 286 312 363 429 484 572 726 858 968 1144 1452 1573 1716 2904 3146 3432 4719 6292 9438 12584 18876 37752 266411 532822 799233 1065644 1598466 2131288 2930521 3196932 3463343 5861042 6393864 6926686 8791563 10390029 11722084 13853372 17583126 20780058 23444168 27706744 32235731 35166252 38096773 41560116 64471462 70332504 76193546 83120232 96707193 114290319 128942924 152387092 193414386 228580638 257885848 304774184 386828772 419064503 457161276 773657544 838129006 914322552 1257193509 1676258012 2514387018 3352516024 5028774036 10057548072