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117296167648 = 25112335940357
BaseRepresentation
bin110110100111101100…
…1010111101011100000
3102012202120102200210111
41231033121113223200
53410210304331043
6125515103541104
711321464655152
oct1551731275340
9365676380714
10117296167648
11458216a0930
121a8962ba794
13b0a3c8b47a
14596a1d6ad2
1530b791509d
hex1b4f657ae0

117296167648 has 96 divisors (see below), whose sum is σ = 263611998720. Its totient is φ = 50855016960.

The previous prime is 117296167621. The next prime is 117296167649. The reversal of 117296167648 is 846761692711.

117296167648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 117296167592 and 117296167601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117296167649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2886286 + ... + 2926642.

It is an arithmetic number, because the mean of its divisors is an integer number (2745958320).

Almost surely, 2117296167648 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 117296167648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131805999360).

117296167648 is an abundant number, since it is smaller than the sum of its proper divisors (146315831072).

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

117296167648 is a wasteful number, since it uses less digits than its factorization.

117296167648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40760 (or 40752 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 58.

The spelling of 117296167648 in words is "one hundred seventeen billion, two hundred ninety-six million, one hundred sixty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 359 368 506 718 736 1012 1436 2024 2872 3949 4048 5744 7898 8096 8257 11488 15796 16514 31592 33028 40357 63184 66056 80714 90827 126368 132112 161428 181654 264224 322856 363308 443927 645712 726616 887854 928211 1291424 1453232 1775708 1856422 2906464 3551416 3712844 7102832 7425688 10210321 14205664 14488163 14851376 20420642 28976326 29702752 40841284 57952652 81682568 115905304 159369793 163365136 231810608 318739586 326730272 333227749 463621216 637479172 666455498 1274958344 1332910996 2549916688 2665821992 3665505239 5099833376 5331643984 7331010478 10663287968 14662020956 29324041912 58648083824 117296167648