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117131757909192 = 233313253916429141
BaseRepresentation
bin11010101000011111011100…
…110100100111010011001000
3120100201200112121021001012000
4122220133130310213103020
5110323041320011043232
61053041330422351000
733446330103525105
oct3250373464472310
9510650477231160
10117131757909192
113435a3327a2884
1211178b0488b460
135048628a45260
1420cd2c8cbdaac
15d81cec26727c
hex6a87dcd274c8

117131757909192 has 128 divisors (see below), whose sum is σ = 350532173712000. Its totient is φ = 36026343924480.

The previous prime is 117131757909163. The next prime is 117131757909193. The reversal of 117131757909192 is 291909757131711.

117131757909192 is a `hidden beast` number, since 1 + 17 + 1 + 31 + 7 + 579 + 0 + 9 + 19 + 2 = 666.

117131757909192 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (117131757909193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085059 + ... + 15344082.

It is an arithmetic number, because the mean of its divisors is an integer number (2738532607125).

Almost surely, 2117131757909192 is an apocalyptic number.

117131757909192 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 117131757909192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175266086856000).

117131757909192 is an abundant number, since it is smaller than the sum of its proper divisors (233400415802808).

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

117131757909192 is a wasteful number, since it uses less digits than its factorization.

117131757909192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16431708 (or 16431698 counting only the distinct ones).

The product of its (nonzero) digits is 7501410, while the sum is 63.

The spelling of 117131757909192 in words is "one hundred seventeen trillion, one hundred thirty-one billion, seven hundred fifty-seven million, nine hundred nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2539 2808 5078 7617 10156 15234 20312 22851 30468 33007 45702 60936 66014 68553 91404 99021 132028 137106 182808 198042 264056 274212 297063 396084 548424 594126 792168 891189 1188252 1782378 2376504 3564756 7129512 16429141 32858282 49287423 65716564 98574846 131433128 147862269 197149692 213578833 295724538 394299384 427157666 443586807 591449076 640736499 854315332 887173614 1182898152 1281472998 1708630664 1774347228 1922209497 2562945996 3548694456 3844418994 5125891992 5766628491 7688837988 11533256982 15377675976 23066513964 41713588999 46133027928 83427177998 125140766997 166854355996 250281533994 333708711992 375422300991 500563067988 542276656987 750844601982 1001126135976 1084553313974 1126266902973 1501689203964 1626829970961 2169106627948 2252533805946 3003378407928 3253659941922 4338213255896 4505067611892 4880489912883 6507319883844 9010135223784 9760979825766 13014639767688 14641469738649 19521959651532 29282939477298 39043919303064 58565878954596 117131757909192