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9957608556 = 2237437333761
BaseRepresentation
bin10010100011000010…
…10000110001101100
3221200221222220222220
421101201100301230
5130343121433211
64324030035340
7501521163510
oct112141206154
927627886886
109957608556
11424a8a0765
121b1a948b50
13c28c9728c
146a668a140
153d42d7806
hex251850c6c

9957608556 has 96 divisors (see below), whose sum is σ = 27215451648. Its totient is φ = 2774338560.

The previous prime is 9957608539. The next prime is 9957608567. The reversal of 9957608556 is 6558067599.

It is a self number, because there is not a number n which added to its sum of digits gives 9957608556.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2645716 + ... + 2649476.

It is an arithmetic number, because the mean of its divisors is an integer number (283494288).

Almost surely, 29957608556 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 9957608556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13607725824).

9957608556 is an abundant number, since it is smaller than the sum of its proper divisors (17257843092).

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

9957608556 is a wasteful number, since it uses less digits than its factorization.

9957608556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 60.

The square root of 9957608556 is about 99787.8176733012. The cubic root of 9957608556 is about 2151.3860581844.

The spelling of 9957608556 in words is "nine billion, nine hundred fifty-seven million, six hundred eight thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 733 903 1204 1466 1806 2199 2932 3612 3761 4398 5131 7522 8796 10262 11283 15044 15393 20524 22566 26327 30786 31519 45132 52654 61572 63038 78981 94557 105308 126076 157962 161723 189114 220633 315924 323446 378228 441266 485169 646892 661899 882532 970338 1132061 1323798 1940676 2264122 2647596 2756813 3396183 4528244 5513626 6792366 8270439 11027252 13584732 16540878 19297691 33081756 38595382 57893073 77190764 115786146 118542959 231572292 237085918 355628877 474171836 711257754 829800713 1422515508 1659601426 2489402139 3319202852 4978804278 9957608556