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40504194585 = 3451922941233
BaseRepresentation
bin100101101110001111…
…001111011000011001
310212112210210021110000
4211232033033120121
51130423033211320
630335105243213
72632505654601
oct455617173031
9125483707400
1040504194585
11161a561a988
127a24933509
133a8667595a
141d63535c01
1510c0dccc90
hex96e3cf619

40504194585 has 240 divisors, whose sum is σ = 81554513040. Its totient is φ = 19194900480.

The previous prime is 40504194571. The next prime is 40504194587. The reversal of 40504194585 is 58549140504.

40504194585 is a `hidden beast` number, since 4 + 0 + 50 + 4 + 19 + 4 + 585 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9301445136 + 31202749449 = 96444^2 + 176643^2 .

It is not a de Polignac number, because 40504194585 - 28 = 40504194329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40504194585.

It is not an unprimeable number, because it can be changed into a prime (40504194587) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 173837629 + ... + 173837861.

It is an arithmetic number, because the mean of its divisors is an integer number (339810471).

Almost surely, 240504194585 is an apocalyptic number.

40504194585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40504194585 is an abundant number, since it is smaller than the sum of its proper divisors (41050318455).

40504194585 is a wasteful number, since it uses less digits than its factorization.

40504194585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 40504194585 in words is "forty billion, five hundred four million, one hundred ninety-four thousand, five hundred eighty-five".