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6942560050440 = 23335717372236547
BaseRepresentation
bin110010100000111000011…
…0100110101110100001000
3220120200221221120012122000
41211001300310311310020
51402221330333103230
622433211300031000
71314404052515340
oct145016064656410
926520857505560
106942560050440
11223736117a053
12941621392460
133b48b03947b1
141a0043785d20
15c08d2ad9b60
hex65070d35d08

6942560050440 has 1024 divisors, whose sum is σ = 28893840998400. Its totient is φ = 1446422593536.

The previous prime is 6942560050291. The next prime is 6942560050553. The reversal of 6942560050440 is 440500652496.

6942560050440 is a `hidden beast` number, since 6 + 9 + 42 + 5 + 60 + 0 + 504 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1060415247 + ... + 1060421793.

It is an arithmetic number, because the mean of its divisors is an integer number (28216641600).

Almost surely, 26942560050440 is an apocalyptic number.

6942560050440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6942560050440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14446920499200).

6942560050440 is an abundant number, since it is smaller than the sum of its proper divisors (21951280947960).

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

6942560050440 is a wasteful number, since it uses less digits than its factorization.

6942560050440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6851 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 6942560050440 in words is "six trillion, nine hundred forty-two billion, five hundred sixty million, fifty thousand, four hundred forty".