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117856465920 = 2103252557649
BaseRepresentation
bin110110111000011001…
…0101111010000000000
3102021012121201210112100
41231300302233100000
53412332223402140
6130050441030400
711341410300624
oct1556062572000
9367177653470
10117856465920
1145a899a2256
121aa11a85400
13b1630961cb
1459c07a7184
1530ebbde530
hex1b70caf400

117856465920 has 132 divisors (see below), whose sum is σ = 408369744900. Its totient is φ = 31428378624.

The previous prime is 117856465897. The next prime is 117856465927. The reversal of 117856465920 is 29564658711.

It is a happy number.

117856465920 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 5 + 6 + 46 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54061830144 + 63794635776 = 232512^2 + 252576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117856465927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1232745 + ... + 1324904.

Almost surely, 2117856465920 is an apocalyptic number.

117856465920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117856465920 is an abundant number, since it is smaller than the sum of its proper divisors (290513278980).

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

117856465920 is a wasteful number, since it uses less digits than its factorization.

117856465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557680 (or 2557659 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 117856465920 in words is "one hundred seventeen billion, eight hundred fifty-six million, four hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 2557649 5115298 7672947 10230596 12788245 15345894 20461192 23018841 25576490 30691788 38364735 40922384 46037682 51152980 61383576 76729470 81844768 92075364 102305960 115094205 122767152 153458940 163689536 184150728 204611920 230188410 245534304 306917880 327379072 368301456 409223840 460376820 491068608 613835760 654758144 736602912 818447680 920753640 982137216 1227671520 1309516288 1473205824 1636895360 1841507280 1964274432 2455343040 2619032576 2946411648 3273790720 3683014560 3928548864 4910686080 5892823296 6547581440 7366029120 7857097728 9821372160 11785646592 13095162880 14732058240 19642744320 23571293184 29464116480 39285488640 58928232960 117856465920