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113152149696 = 2633783191903
BaseRepresentation
bin110100101100001100…
…1001100100011000000
3101211001202201202212010
41221120121030203000
53323213422242241
6123551551132520
711114005255155
oct1513031144300
9354052652763
10113152149696
1143a95490903
1219b1a514140
13a893583941
145695ab422c
152e23be2d16
hex1a5864c8c0

113152149696 has 112 divisors (see below), whose sum is σ = 311179244544. Its totient is φ = 36255661056.

The previous prime is 113152149667. The next prime is 113152149707. The reversal of 113152149696 is 696941251311.

113152149696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493681 + ... + 685583.

It is an arithmetic number, because the mean of its divisors is an integer number (2778386112).

Almost surely, 2113152149696 is an apocalyptic number.

113152149696 is a gapful number since it is divisible by the number (16) 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 113152149696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155589622272).

113152149696 is an abundant number, since it is smaller than the sum of its proper divisors (198027094848).

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

113152149696 is a wasteful number, since it uses less digits than its factorization.

113152149696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192038 (or 192028 counting only the distinct ones).

The product of its digits is 349920, while the sum is 48.

The spelling of 113152149696 in words is "one hundred thirteen billion, one hundred fifty-two million, one hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 83 96 111 148 166 192 222 249 296 332 444 498 592 664 888 996 1184 1328 1776 1992 2368 2656 3071 3552 3984 5312 6142 7104 7968 9213 12284 15936 18426 24568 36852 49136 73704 98272 147408 191903 196544 294816 383806 575709 589632 767612 1151418 1535224 2302836 3070448 4605672 6140896 7100411 9211344 12281792 14200822 15927949 18422688 21301233 28401644 31855898 36845376 42602466 47783847 56803288 63711796 85204932 95567694 113606576 127423592 170409864 191135388 227213152 254847184 340819728 382270776 454426304 509694368 589334113 681639456 764541552 1019388736 1178668226 1363278912 1529083104 1768002339 2357336452 3058166208 3536004678 4714672904 7072009356 9429345808 14144018712 18858691616 28288037424 37717383232 56576074848 113152149696