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42479496765 = 335565355663
BaseRepresentation
bin100111100011111110…
…011010111000111101
311001122110200000122000
4213203332122320331
51143444222344030
631303111012513
73032452523226
oct474376327075
9131573600560
1042479496765
1117019628722
12829636a139
13400c983504
1420ada0224d
151189512860
hex9e3f9ae3d

42479496765 has 32 divisors (see below), whose sum is σ = 75533821440. Its totient is φ = 22651316928.

The previous prime is 42479496733. The next prime is 42479496781. The reversal of 42479496765 is 56769497424.

It is a happy number.

42479496765 is a `hidden beast` number, since 4 + 2 + 4 + 79 + 496 + 76 + 5 = 666.

It is not a de Polignac number, because 42479496765 - 25 = 42479496733 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735324 + ... + 790986.

It is an arithmetic number, because the mean of its divisors is an integer number (2360431920).

Almost surely, 242479496765 is an apocalyptic number.

42479496765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42479496765 is a deficient number, since it is larger than the sum of its proper divisors (33054324675).

42479496765 is a wasteful number, since it uses less digits than its factorization.

42479496765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61330 (or 61324 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 42479496765 in words is "forty-two billion, four hundred seventy-nine million, four hundred ninety-six thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 135 5653 16959 28265 50877 55663 84795 152631 166989 254385 278315 500967 763155 834945 1502901 2504835 7514505 314662939 943988817 1573314695 2831966451 4719944085 8495899353 14159832255 42479496765