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42796174560 = 2535192312257
BaseRepresentation
bin100111110110110110…
…011100110011100000
311002110112112220220020
4213312312130303200
51200121310041220
631354342313440
73043346324136
oct476666346340
9132415486806
1042796174560
1117171363407
128364428880
134060470519
1420ddab7756
1511a7218040
hex9f6d9cce0

42796174560 has 432 divisors, whose sum is σ = 147586189968. Its totient is φ = 10422190080.

The previous prime is 42796174559. The next prime is 42796174571. The reversal of 42796174560 is 6547169724.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 166521952 + ... + 166522208.

It is an arithmetic number, because the mean of its divisors is an integer number (341634699).

Almost surely, 242796174560 is an apocalyptic number.

42796174560 is a gapful number since it is divisible by the number (40) 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 42796174560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73793094984).

42796174560 is an abundant number, since it is smaller than the sum of its proper divisors (104790015408).

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

42796174560 is a wasteful number, since it uses less digits than its factorization.

42796174560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 42796174560 in words is "forty-two billion, seven hundred ninety-six million, one hundred seventy-four thousand, five hundred sixty".