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617072052040 = 23515426801301
BaseRepresentation
bin10001111101011000101…
…11000100011101001000
32011222202210221011012221
420332230113010131020
540102230421131130
61151251243343424
762403422620333
oct10765427043510
92158683834187
10617072052040
112187760a4a14
129b714221b74
134626085a452
1421c1b75b61a
15110b8a2887a
hex8fac5c4748

617072052040 has 16 divisors (see below), whose sum is σ = 1388412117180. Its totient is φ = 246828820800.

The previous prime is 617072052013. The next prime is 617072052043. The reversal of 617072052040 is 40250270716.

It can be written as a sum of positive squares in 2 ways, for example, as 608777578564 + 8294473476 = 780242^2 + 91074^2 .

It is a junction number, because it is equal to n+sod(n) for n = 617072051987 and 617072052005.

It is not an unprimeable number, because it can be changed into a prime (617072052043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7713400611 + ... + 7713400690.

Almost surely, 2617072052040 is an apocalyptic number.

It is an amenable number.

617072052040 is an abundant number, since it is smaller than the sum of its proper divisors (771340065140).

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

617072052040 is a wasteful number, since it uses less digits than its factorization.

617072052040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15426801312 (or 15426801308 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The spelling of 617072052040 in words is "six hundred seventeen billion, seventy-two million, fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 15426801301 30853602602 61707205204 77134006505 123414410408 154268013010 308536026020 617072052040