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117257620040 = 23511228385607
BaseRepresentation
bin110110100110100011…
…0010100101001001000
3102012122212220021102022
41231031012110221020
53410120422320130
6125511205424012
711320516216361
oct1551506245110
9365585807368
10117257620040
1145801962500
121a88540b008
13b098cb2a32
145965040b68
1530b434d7e5
hex1b4d194a48

117257620040 has 96 divisors (see below), whose sum is σ = 291022683840. Its totient is φ = 42487969920.

The previous prime is 117257620027. The next prime is 117257620097. The reversal of 117257620040 is 40026752711.

It is a Cunningham number, because it is equal to 3424292-1.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1326917 + ... + 1412523.

It is an arithmetic number, because the mean of its divisors is an integer number (3031486290).

Almost surely, 2117257620040 is an apocalyptic number.

117257620040 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 117257620040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145511341920).

117257620040 is an abundant number, since it is smaller than the sum of its proper divisors (173765063800).

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

117257620040 is a wasteful number, since it uses less digits than its factorization.

117257620040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85923 (or 85908 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 117257620040 in words is "one hundred seventeen billion, two hundred fifty-seven million, six hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 283 440 484 566 605 968 1132 1210 1415 2264 2420 2830 3113 4840 5660 6226 11320 12452 15565 24904 31130 34243 62260 68486 85607 124520 136972 171214 171215 273944 342428 342430 428035 684856 684860 856070 941677 1369720 1712140 1883354 3424280 3766708 4708385 7533416 9416770 10358447 18833540 20716894 24226781 37667080 41433788 48453562 51792235 82867576 96907124 103584470 121133905 193814248 207168940 242267810 266494591 414337880 484535620 532989182 969071240 1065978364 1332472955 2131956728 2664945910 2931440501 5329891820 5862881002 10659783640 11725762004 14657202505 23451524008 29314405010 58628810020 117257620040