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42042013164 = 22329433123803
BaseRepresentation
bin100111001001111001…
…100011010111101100
311000111222110112221200
4213021321203113230
51142100223410124
631151442125500
73015561133644
oct471171432754
9130458415850
1042042013164
1116914690828
128193950890
133c70149888
14206b881524
151160de7bc9
hex9c9e635ec

42042013164 has 36 divisors (see below), whose sum is σ = 106284991176. Its totient is φ = 14012405568.

The previous prime is 42042013061. The next prime is 42042013213. The reversal of 42042013164 is 46131024024.

It is a happy number.

42042013164 is a `hidden beast` number, since 420 + 4 + 201 + 31 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277687 + ... + 401489.

It is an arithmetic number, because the mean of its divisors is an integer number (2952360866).

Almost surely, 242042013164 is an apocalyptic number.

It is an amenable number.

42042013164 is an abundant number, since it is smaller than the sum of its proper divisors (64242978012).

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

42042013164 is a wasteful number, since it uses less digits than its factorization.

42042013164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133246 (or 133241 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42042013164 its reverse (46131024024), we get a palindrome (88173037188).

The spelling of 42042013164 in words is "forty-two billion, forty-two million, thirteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 9433 18866 28299 37732 56598 84897 113196 123803 169794 247606 339588 371409 495212 742818 1114227 1485636 2228454 4456908 1167833699 2335667398 3503501097 4671334796 7007002194 10510503291 14014004388 21021006582 42042013164