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10118393376 = 2537213165463
BaseRepresentation
bin10010110110001101…
…00110111000100000
3222010011112122022020
421123012212320200
5131210302042001
64352012141440
7505512632100
oct113306467040
928104478266
1010118393376
114322629783
121b64767880
13c533a1020
146bdb81200
153e3497736
hex25b1a6e20

10118393376 has 144 divisors (see below), whose sum is σ = 33274148544. Its totient is φ = 2668571136.

The previous prime is 10118393371. The next prime is 10118393377. The reversal of 10118393376 is 67339381101.

It is a super-2 number, since 2×101183933762 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10118393371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21580 + ... + 143883.

It is an arithmetic number, because the mean of its divisors is an integer number (231070476).

Almost surely, 210118393376 is an apocalyptic number.

10118393376 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 10118393376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16637074272).

10118393376 is an abundant number, since it is smaller than the sum of its proper divisors (23155755168).

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

10118393376 is a wasteful number, since it uses less digits than its factorization.

10118393376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165503 (or 165488 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 10118393376 in words is "ten billion, one hundred eighteen million, three hundred ninety-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2912 3822 4368 4704 5096 7644 8736 10192 15288 20384 30576 61152 165463 330926 496389 661852 992778 1158241 1323704 1985556 2151019 2316482 2647408 3474723 3971112 4302038 4632964 5294816 6453057 6949446 7942224 8107687 8604076 9265928 12906114 13898892 15057133 15884448 16215374 17208152 18531856 24323061 25812228 27797784 30114266 32430748 34416304 37063712 45171399 48646122 51624456 55595568 60228532 64861496 68832608 90342798 97292244 103248912 105399931 111191136 120457064 129722992 180685596 194584488 206497824 210799862 240914128 259445984 316199793 361371192 389168976 421599724 481828256 632399586 722742384 778337952 843199448 1264799172 1445484768 1686398896 2529598344 3372797792 5059196688 10118393376