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166032296122401 = 32195932575052737
BaseRepresentation
bin100101110000000101101000…
…000010000001100000100001
3210202212112101012002121022200
4211300011220002001200201
5133230233120301404101
61345042103414123413
746654303035252342
oct4560055002014041
9722775335077280
10166032296122401
11489a29a0787485
1216756208050569
137184a17034507
142d000126c20c9
15142dd337db986
hex970168081821

166032296122401 has 48 divisors (see below), whose sum is σ = 256804398302400. Its totient is φ = 103053501517824.

The previous prime is 166032296122393. The next prime is 166032296122421. The reversal of 166032296122401 is 104221692230661.

166032296122401 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 3 + 2 + 2 + 9 + 612 + 24 + 0 + 1 = 666.

It is not a de Polignac number, because 166032296122401 - 23 = 166032296122393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (166032296122421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30333505 + ... + 35386241.

It is an arithmetic number, because the mean of its divisors is an integer number (5350091631300).

Almost surely, 2166032296122401 is an apocalyptic number.

It is an amenable number.

166032296122401 is a deficient number, since it is larger than the sum of its proper divisors (90772102179999).

166032296122401 is a wasteful number, since it uses less digits than its factorization.

166032296122401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5056078 (or 5056075 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 166032296122401 in words is "one hundred sixty-six trillion, thirty-two billion, two hundred ninety-six million, one hundred twenty-two thousand, four hundred one".

Divisors: 1 3 9 19 57 59 171 177 531 1121 3257 3363 9771 10089 29313 61883 185649 192163 556947 576489 1729467 3651097 5052737 10953291 15158211 32859873 45474633 96002003 288006009 298111483 864018027 894334449 2683003347 5664118177 16456764409 16992354531 49370293227 50977063593 148110879681 312678523771 938035571313 970949100131 2814106713939 2912847300393 8738541901179 18448032902489 55344098707467 166032296122401