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117910105640 = 23543131951973
BaseRepresentation
bin110110111001111111…
…1010110111000101000
3102021100100122222101122
41231303333112320220
53412434441340030
6130100034434412
711342631234635
oct1556377267050
9367310588348
10117910105640
11460071a95a8
121aa27a32a08
13b1712271a2
1459c796b18c
1531017878e5
hex1b73fd6e28

117910105640 has 64 divisors (see below), whose sum is σ = 271678492800. Its totient is φ = 46031392512.

The previous prime is 117910105637. The next prime is 117910105693. The reversal of 117910105640 is 46501019711.

It is a self number, because there is not a number n which added to its sum of digits gives 117910105640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2242694 + ... + 2294666.

It is an arithmetic number, because the mean of its divisors is an integer number (4244976450).

Almost surely, 2117910105640 is an apocalyptic number.

117910105640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117910105640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135839246400).

117910105640 is an abundant number, since it is smaller than the sum of its proper divisors (153768387160).

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

117910105640 is a wasteful number, since it uses less digits than its factorization.

117910105640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53346 (or 53342 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 35.

The spelling of 117910105640 in words is "one hundred seventeen billion, nine hundred ten million, one hundred five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1319 1720 2638 5276 6595 10552 13190 26380 51973 52760 56717 103946 113434 207892 226868 259865 283585 415784 453736 519730 567170 1039460 1134340 2078920 2234839 2268680 4469678 8939356 11174195 17878712 22348390 44696780 68552387 89393560 137104774 274209548 342761935 548419096 685523870 1371047740 2742095480 2947752641 5895505282 11791010564 14738763205 23582021128 29477526410 58955052820 117910105640