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40516575048 = 233217732771637
BaseRepresentation
bin100101101110111110…
…011101111101001000
310212120200002021020200
4211232332131331020
51130434220400143
630340230452200
72633016130335
oct455676357510
9125520067220
1040516575048
1116201606574
127a28b04060
133a890bbb81
141d6503998c
1510c20261d3
hex96ef9df48

40516575048 has 192 divisors, whose sum is σ = 118276245360. Its totient is φ = 12484067328.

The previous prime is 40516575007. The next prime is 40516575097. The reversal of 40516575048 is 84057561504.

40516575048 is a `hidden beast` number, since 40 + 51 + 6 + 57 + 504 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8746364484 + 31770210564 = 93522^2 + 178242^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40516574994 and 40516575012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24749686 + ... + 24751322.

Almost surely, 240516575048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40516575048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59138122680).

40516575048 is an abundant number, since it is smaller than the sum of its proper divisors (77759670312).

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

40516575048 is a wasteful number, since it uses less digits than its factorization.

40516575048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 40516575048 in words is "forty billion, five hundred sixteen million, five hundred seventy-five thousand, forty-eight".