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10178993712 = 24317234312613
BaseRepresentation
bin10010111101011011…
…10001111000110000
3222021101120110100010
421132231301320300
5131321310244322
64402015054520
7510150006336
oct113655617060
928241513303
1010178993712
11435385a6a8
121b80b11440
13c62acb304
146c7c37b56
153e896820c
hex25eb71e30

10178993712 has 160 divisors (see below), whose sum is σ = 29731097088. Its totient is φ = 2983292928.

The previous prime is 10178993701. The next prime is 10178993717. The reversal of 10178993712 is 21739987101.

It is a super-2 number, since 2×101789937122 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10178993717) 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, 800718 + ... + 813330.

Almost surely, 210178993712 is an apocalyptic number.

10178993712 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 10178993712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14865548544).

10178993712 is an abundant number, since it is smaller than the sum of its proper divisors (19552103376).

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

10178993712 is a wasteful number, since it uses less digits than its factorization.

10178993712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12707 (or 12701 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 48.

The spelling of 10178993712 in words is "ten billion, one hundred seventy-eight million, nine hundred ninety-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 43 46 48 51 68 69 86 92 102 129 136 138 172 184 204 258 272 276 344 368 391 408 516 552 688 731 782 816 989 1032 1104 1173 1462 1564 1978 2064 2193 2346 2924 2967 3128 3956 4386 4692 5848 5934 6256 7912 8772 9384 11696 11868 12613 15824 16813 17544 18768 23736 25226 33626 35088 37839 47472 50439 50452 67252 75678 100878 100904 134504 151356 201756 201808 214421 269008 290099 302712 403512 428842 542359 580198 605424 643263 807024 857684 870297 1084718 1160396 1286526 1627077 1715368 1740594 2169436 2320792 2573052 3254154 3430736 3481188 4338872 4641584 4931683 5146104 6508308 6962376 8677744 9220103 9863366 10292208 12474257 13016616 13924752 14795049 18440206 19726732 24948514 26033232 27660309 29590098 36880412 37422771 39453464 49897028 55320618 59180196 73760824 74845542 78906928 99794056 110641236 118360392 147521648 149691084 199588112 212062369 221282472 236720784 299382168 424124738 442564944 598764336 636187107 848249476 1272374214 1696498952 2544748428 3392997904 5089496856 10178993712