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42166759257 = 3272329100593
BaseRepresentation
bin100111010001010101…
…011010111101011001
311000211200012022102100
4213101111122331121
51142324142244012
631212055554013
73021634353120
oct472125327531
9130750168370
1042166759257
1116979044377
12820968b909
133c8cc45b2c
142080274ab7
15116bd398dc
hex9d155af59

42166759257 has 24 divisors (see below), whose sum is σ = 72635082624. Its totient is φ = 23047668864.

The previous prime is 42166759237. The next prime is 42166759267. The reversal of 42166759257 is 75295766124.

It is a happy number.

42166759257 is a `hidden beast` number, since 42 + 1 + 6 + 6 + 7 + 592 + 5 + 7 = 666.

It is not a de Polignac number, because 42166759257 - 212 = 42166755161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42166759237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14548848 + ... + 14551745.

It is an arithmetic number, because the mean of its divisors is an integer number (3026461776).

Almost surely, 242166759257 is an apocalyptic number.

It is an amenable number.

42166759257 is a deficient number, since it is larger than the sum of its proper divisors (30468323367).

42166759257 is a wasteful number, since it uses less digits than its factorization.

42166759257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29100629 (or 29100626 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 42166759257 in words is "forty-two billion, one hundred sixty-six million, seven hundred fifty-nine thousand, two hundred fifty-seven".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 29100593 87301779 203704151 261905337 611112453 669313639 1833337359 2007940917 4685195473 6023822751 14055586419 42166759257