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108116961360 = 24354752118397
BaseRepresentation
bin110010010110001000…
…1011110100001010000
3101100001212010200222020
41210230101132201100
53232410420230420
6121400201411440
710545145002612
oct1445421364120
9340055120866
10108116961360
114194122a331
1218b54199b80
13a270354665
145339092db2
152c2bb3a340
hex192c45e850

108116961360 has 160 divisors (see below), whose sum is σ = 342969334272. Its totient is φ = 28162068480.

The previous prime is 108116961331. The next prime is 108116961371. The reversal of 108116961360 is 63169611801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5867682 + ... + 5886078.

Almost surely, 2108116961360 is an apocalyptic number.

108116961360 is a gapful number since it is divisible by the number (10) 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 108116961360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171484667136).

108116961360 is an abundant number, since it is smaller than the sum of its proper divisors (234852372912).

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

108116961360 is a wasteful number, since it uses less digits than its factorization.

108116961360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18981 (or 18975 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 108116961360 in words is "one hundred eight billion, one hundred sixteen million, nine hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 521 564 705 752 940 1042 1128 1410 1563 1880 2084 2256 2605 2820 3126 3760 4168 5210 5640 6252 7815 8336 10420 11280 12504 15630 18397 20840 24487 25008 31260 36794 41680 48974 55191 62520 73461 73588 91985 97948 110382 122435 125040 146922 147176 183970 195896 220764 244870 275955 293844 294352 367305 367940 391792 441528 489740 551910 587688 734610 735880 864659 883056 979480 1103820 1175376 1469220 1471760 1729318 1958960 2207640 2593977 2938440 3458636 4323295 4415280 5187954 5876880 6917272 8646590 9584837 10375908 12969885 13834544 17293180 19169674 20751816 25939770 28754511 34586360 38339348 41503632 47924185 51879540 57509022 69172720 76678696 95848370 103759080 115018044 143772555 153357392 191696740 207518160 230036088 287545110 383393480 450487339 460072176 575090220 766786960 900974678 1150180440 1351462017 1801949356 2252436695 2300360880 2702924034 3603898712 4504873390 5405848068 6757310085 7207797424 9009746780 10811696136 13514620170 18019493560 21623392272 27029240340 36038987120 54058480680 108116961360