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117187083072 = 263464734939
BaseRepresentation
bin110110100100011100…
…1001111101101000000
3102012110222011121220000
41231020321033231000
53404444343124242
6125500205520000
711316001525263
oct1551071175500
9365428147800
10117187083072
1145776064a94
121a865873000
13b0874b6997
14595991ccda
1530ad068a4c
hex1b48e4fb40

117187083072 has 140 divisors (see below), whose sum is σ = 347926091040. Its totient is φ = 39000870144.

The previous prime is 117187083053. The next prime is 117187083089. The reversal of 117187083072 is 270380781711.

It is a happy number.

117187083072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3336579 + ... + 3371517.

Almost surely, 2117187083072 is an apocalyptic number.

117187083072 is a gapful number since it is divisible by the number (12) 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 117187083072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173963045520).

117187083072 is an abundant number, since it is smaller than the sum of its proper divisors (230739007968).

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

117187083072 is an equidigital number, since it uses as much as digits as its factorization.

117187083072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35610 (or 35591 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The spelling of 117187083072 in words is "one hundred seventeen billion, one hundred eighty-seven million, eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 647 648 864 1294 1296 1728 1941 2588 2592 3882 5176 5184 5823 7764 10352 11646 15528 17469 20704 23292 31056 34938 34939 41408 46584 52407 62112 69876 69878 93168 104814 104817 124224 139752 139756 186336 209628 209634 279504 279512 314451 372672 419256 419268 559008 559024 628902 838512 838536 943353 1118016 1118048 1257804 1677024 1677072 1886706 2236096 2515608 2830059 3354048 3354144 3773412 5031216 5660118 6708288 7546824 10062432 11320236 15093648 20124864 22605533 22640472 30187296 45211066 45280944 60374592 67816599 90422132 90561888 135633198 180844264 181123776 203449797 271266396 361688528 406899594 542532792 610349391 723377056 813799188 1085065584 1220698782 1446754112 1627598376 1831048173 2170131168 2441397564 3255196752 3662096346 4340262336 4882795128 6510393504 7324192692 9765590256 13020787008 14648385384 19531180512 29296770768 39062361024 58593541536 117187083072