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117600039960 = 233513439171719
BaseRepresentation
bin110110110000110000…
…0100011010000011000
3102020112202020000020120
41231201200203100120
53411321102234320
6130005200553240
711332144563234
oct1554140432030
9366482200216
10117600039960
114596817a677
121a960022820
13b121c13980
1459986d75c4
1530d443b440
hex1b61823418

117600039960 has 128 divisors (see below), whose sum is σ = 380806272000. Its totient is φ = 28881593856.

The previous prime is 117600039929. The next prime is 117600040013. The reversal of 117600039960 is 69930006711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598981 + ... + 770699.

It is an arithmetic number, because the mean of its divisors is an integer number (2975049000).

Almost surely, 2117600039960 is an apocalyptic number.

117600039960 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 117600039960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190403136000).

117600039960 is an abundant number, since it is smaller than the sum of its proper divisors (263206232040).

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

117600039960 is a wasteful number, since it uses less digits than its factorization.

117600039960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172185 (or 172181 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The spelling of 117600039960 in words is "one hundred seventeen billion, six hundred million, thirty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 439 520 780 878 1317 1560 1756 2195 2634 3512 4390 5268 5707 6585 8780 10536 11414 13170 17121 17560 22828 26340 28535 34242 45656 52680 57070 68484 85605 114140 136968 171210 171719 228280 342420 343438 515157 684840 686876 858595 1030314 1373752 1717190 2060628 2232347 2575785 3434380 4121256 4464694 5151570 6697041 6868760 8929388 10303140 11161735 13394082 17858776 20606280 22323470 26788164 33485205 44646940 53576328 66970410 75384641 89293880 133940820 150769282 226153923 267881640 301538564 376923205 452307846 603077128 753846410 904615692 980000333 1130769615 1507692820 1809231384 1960000666 2261539230 2940000999 3015385640 3920001332 4523078460 4900001665 5880001998 7840002664 9046156920 9800003330 11760003996 14700004995 19600006660 23520007992 29400009990 39200013320 58800019980 117600039960