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117291396872 = 23134353736779
BaseRepresentation
bin110110100111100011…
…1001010111100001000
3102012202020110022112002
41231033013022330020
53410203044144442
6125514413410132
711321406265166
oct1551707127410
9365666408462
10117291396872
1145819a32541
121a894799948
13b0a2caab20
145969714236
1530b72c1732
hex1b4f1caf08

117291396872 has 128 divisors (see below), whose sum is σ = 250338211200. Its totient is φ = 51159693312.

The previous prime is 117291396773. The next prime is 117291396899. The reversal of 117291396872 is 278693192711.

It is a super-2 number, since 2×1172913968722 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17298779 + ... + 17305557.

It is an arithmetic number, because the mean of its divisors is an integer number (1955767275).

Almost surely, 2117291396872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117291396872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125169105600).

117291396872 is an abundant number, since it is smaller than the sum of its proper divisors (133046814328).

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

117291396872 is a wasteful number, since it uses less digits than its factorization.

117291396872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6967 (or 6963 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 56.

The spelling of 117291396872 in words is "one hundred seventeen billion, two hundred ninety-one million, three hundred ninety-six thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 26 43 52 53 73 86 104 106 146 172 212 292 344 424 559 584 689 949 1118 1378 1898 2236 2279 2756 3139 3796 3869 4472 4558 5512 6278 6779 7592 7738 9116 12556 13558 15476 18232 25112 27116 29627 30952 40807 50297 54232 59254 81614 88127 100594 118508 163228 166367 176254 201188 237016 291497 326456 332734 352508 359287 402376 494867 582994 665468 705016 718574 989734 1165988 1330936 1437148 1979468 2162771 2331976 2874296 3789461 3958936 4325542 4670731 6433271 7578922 8651084 9341462 12866542 15157844 15449341 17302168 18682924 21279281 25733084 26227951 30315688 30898682 37365848 42558562 51466168 52455902 61797364 85117124 104911804 123594728 170234248 200841433 209823608 276630653 340963363 401682866 553261306 681926726 803365732 1106522612 1127801893 1363853452 1606731464 2213045224 2255603786 2727706904 4511207572 9022415144 14661424609 29322849218 58645698436 117291396872