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166132340441352 = 2333785119796477
BaseRepresentation
bin100101110001100010110011…
…001000110100000100001000
3210210020002121110010120202000
4211301202303020310010020
5133233403013123110402
61345200051003111000
746664444161034535
oct4561426310640410
9723202543116660
10166132340441352
1148a3136a13300a
1216771688812460
13719129ba9058c
142d04bc359bd8c
15143173b87cc1c
hex9718b3234108

166132340441352 has 64 divisors (see below), whose sum is σ = 461484648441600. Its totient is φ = 55376735814720.

The previous prime is 166132340441351. The next prime is 166132340441377. The reversal of 166132340441352 is 253144043231661.

166132340441352 is a `hidden beast` number, since 1 + 6 + 6 + 132 + 3 + 40 + 441 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 166132340441298 and 166132340441307.

It is not an unprimeable number, because it can be changed into a prime (166132340441351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12060138 + ... + 21856614.

It is an arithmetic number, because the mean of its divisors is an integer number (7210697631900).

Almost surely, 2166132340441352 is an apocalyptic number.

166132340441352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166132340441352 is an abundant number, since it is smaller than the sum of its proper divisors (295352308000248).

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

166132340441352 is a wasteful number, since it uses less digits than its factorization.

166132340441352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9875003 (or 9874993 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 166132340441352 in words is "one hundred sixty-six trillion, one hundred thirty-two billion, three hundred forty million, four hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 78511 157022 235533 314044 471066 628088 706599 942132 1413198 1884264 2119797 2826396 4239594 5652792 8479188 9796477 16958376 19592954 29389431 39185908 58778862 78371816 88168293 117557724 176336586 235115448 264504879 352673172 529009758 705346344 1058019516 2116039032 769131205747 1538262411494 2307393617241 3076524822988 4614787234482 6153049645976 6922180851723 9229574468964 13844361703446 18459148937928 20766542555169 27688723406892 41533085110338 55377446813784 83066170220676 166132340441352