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116638706052 = 223311175775337
BaseRepresentation
bin110110010100000110…
…1010110100110000100
3102011001202022012001000
41230220031112212010
53402334002043202
6125325540133300
711266262433411
oct1545015264604
9364052265030
10116638706052
1145514566240
121a732097230
13acca9c413b
145906b73108
153079d4691c
hex1b28356984

116638706052 has 96 divisors (see below), whose sum is σ = 349292442240. Its totient is φ = 33265935360.

The previous prime is 116638706033. The next prime is 116638706083. The reversal of 116638706052 is 250607836611.

116638706052 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 38 + 7 + 0 + 605 + 2 = 666.

It is a super-2 number, since 2×1166387060522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116638705989 and 116638706007.

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, 2867473 + ... + 2907864.

It is an arithmetic number, because the mean of its divisors is an integer number (3638462940).

Almost surely, 2116638706052 is an apocalyptic number.

116638706052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116638706052 is an abundant number, since it is smaller than the sum of its proper divisors (232653736188).

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

116638706052 is a wasteful number, since it uses less digits than its factorization.

116638706052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5775378 (or 5775370 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 116638706052 in words is "one hundred sixteen billion, six hundred thirty-eight million, seven hundred six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1188 1683 1836 2244 3366 5049 6732 10098 20196 5775337 11550674 17326011 23101348 34652022 51978033 63528707 69304044 98180729 103956066 127057414 155934099 190586121 196361458 207912132 254114828 294542187 311868198 381172242 392722916 571758363 589084374 623736396 762344484 883626561 1079988019 1143516726 1178168748 1715275089 1767253122 2159976038 2287033452 2650879683 3239964057 3430550178 3534506244 4319952076 5301759366 6479928114 6861100356 9719892171 10603518732 12959856228 19439784342 29159676513 38879568684 58319353026 116638706052