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161606115105966 = 23247523365246227
BaseRepresentation
bin100100101111101011011011…
…000101011001110010101110
3210012012101122000122002121100
4210233223123011121302232
5132140223310431342331
61331412454021543530
746016441120342226
oct4457533305316256
9705171560562540
10161606115105966
114754684aa07353
1216160420b74ba6
136c235117b865b
142bc9ac6049086
1513a3b2c729ae6
hex92fadb159cae

161606115105966 has 48 divisors (see below), whose sum is σ = 358280251939584. Its totient is φ = 52621754272272.

The previous prime is 161606115105931. The next prime is 161606115105971. The reversal of 161606115105966 is 669501511606161.

161606115105966 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 0 + 6 + 11 + 510 + 59 + 66 = 666.

It is a super-2 number, since 2×1616061151059662 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182180656 + ... + 183065571.

It is an arithmetic number, because the mean of its divisors is an integer number (7464171915408).

Almost surely, 2161606115105966 is an apocalyptic number.

161606115105966 is an abundant number, since it is smaller than the sum of its proper divisors (196674136833618).

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

161606115105966 is a wasteful number, since it uses less digits than its factorization.

161606115105966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365246805 (or 365246802 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 161606115105966 in words is "one hundred sixty-one trillion, six hundred six billion, one hundred fifteen million, one hundred five thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 523 846 1046 1569 3138 4707 9414 24581 49162 73743 147486 221229 442458 365246227 730492454 1095738681 2191477362 3287216043 6574432086 17166572669 34333145338 51499718007 102999436014 154499154021 191023776721 308998308042 382047553442 573071330163 1146142660326 1719213990489 3438427980978 8978117505887 17956235011774 26934352517661 53868705035322 80803057552983 161606115105966