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116246462112 = 253211191931261
BaseRepresentation
bin110110001000011010…
…1000011111010100000
3102010001102020010111200
41230100311003322200
53401033043241422
6125223005041200
711253460424154
oct1542065037240
9363042203450
10116246462112
11453331085a0
121a642856200
13ac67669c31
1458aaa2b064
1530556b62ac
hex1b10d43ea0

116246462112 has 144 divisors (see below), whose sum is σ = 379608858720. Its totient is φ = 33372172800.

The previous prime is 116246462081. The next prime is 116246462119. The reversal of 116246462112 is 211264642611.

116246462112 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 4 + 646 + 2 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116246462119) 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, 905439 + ... + 1025822.

It is an arithmetic number, because the mean of its divisors is an integer number (2636172630).

Almost surely, 2116246462112 is an apocalyptic number.

116246462112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116246462112 is an abundant number, since it is smaller than the sum of its proper divisors (263362396608).

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

116246462112 is a wasteful number, since it uses less digits than its factorization.

116246462112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931307 (or 1931296 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 116246462112 in words is "one hundred sixteen billion, two hundred forty-six million, four hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 66 72 76 88 96 99 114 132 144 152 171 176 198 209 228 264 288 304 342 352 396 418 456 528 608 627 684 792 836 912 1056 1254 1368 1584 1672 1824 1881 2508 2736 3168 3344 3762 5016 5472 6688 7524 10032 15048 20064 30096 60192 1931261 3862522 5793783 7725044 11587566 15450088 17381349 21243871 23175132 30900176 34762698 36693959 42487742 46350264 61800352 63731613 69525396 73387918 84975484 92700528 110081877 127463226 139050792 146775836 169950968 185401056 191194839 220163754 254926452 278101584 293551672 330245631 339901936 382389678 403633549 440327508 509852904 556203168 587103344 660491262 679803872 764779356 807267098 880655016 1019705808 1174206688 1210900647 1320982524 1529558712 1614534196 1761310032 2039411616 2421801294 2641965048 3059117424 3229068392 3522620064 3632701941 4843602588 5283930096 6118234848 6458136784 7265403882 9687205176 10567860192 12916273568 14530807764 19374410352 29061615528 38748820704 58123231056 116246462112