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10007098556 = 22713296115541
BaseRepresentation
bin10010101000111100…
…00011010010111100
3221211102010021111212
421110132003102330
5130443304123211
64332554503552
7502661635310
oct112436032274
927742107455
1010007098556
114275823294
121b33434bb8
13c363044c0
146ad08db40
153d881138b
hex2547834bc

10007098556 has 96 divisors (see below), whose sum is σ = 22663966080. Its totient is φ = 3759436800.

The previous prime is 10007098553. The next prime is 10007098567. The reversal of 10007098556 is 65589070001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007098553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636146 + ... + 651686.

It is an arithmetic number, because the mean of its divisors is an integer number (236082980).

Almost surely, 210007098556 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 10007098556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11331983040).

10007098556 is an abundant number, since it is smaller than the sum of its proper divisors (12656867524).

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

10007098556 is a wasteful number, since it uses less digits than its factorization.

10007098556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15655 (or 15653 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 41.

The spelling of 10007098556 in words is "ten billion, seven million, ninety-eight thousand, five hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 61 91 116 122 182 203 244 364 377 406 427 754 793 812 854 1508 1586 1708 1769 2639 3172 3538 5278 5551 7076 10556 11102 12383 15541 22204 22997 24766 31082 45994 49532 62164 91988 108787 160979 202033 217574 321958 404066 435148 450689 643916 808132 901378 948001 1414231 1802756 1896002 2828462 3154823 3792004 5656924 5858957 6309646 6636007 11717914 12324013 12619292 13272014 23435828 24648026 26544028 27492029 41012699 49296052 54984058 82025398 86268091 109968116 164050796 172536182 192444203 345072364 357396377 384888406 714792754 769776812 1429585508 2501774639 5003549278 10007098556