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3842560715136 = 2731113312257313
BaseRepresentation
bin110111111010101010011…
…101110110100110000000
3111121100022122220100201120
4313322222131312212000
51000424031020341021
612101125323432240
7544421144111523
oct67725235664600
914540278810646
103842560715136
111251691391710
12520869985680
1321b476228890
14d3da3962bba
1569e4923d2c6
hex37eaa776980

3842560715136 has 256 divisors, whose sum is σ = 12378026465280. Its totient is φ = 1040169369600.

The previous prime is 3842560715113. The next prime is 3842560715143. The reversal of 3842560715136 is 6315170652483.

It is a super-3 number, since 3×38425607151363 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573616 + ... + 2830928.

It is an arithmetic number, because the mean of its divisors is an integer number (48351665880).

Almost surely, 23842560715136 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 3842560715136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6189013232640).

3842560715136 is an abundant number, since it is smaller than the sum of its proper divisors (8535465750144).

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

3842560715136 is a wasteful number, since it uses less digits than its factorization.

3842560715136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257385 (or 2257373 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 3842560715136 in words is "three trillion, eight hundred forty-two billion, five hundred sixty million, seven hundred fifteen thousand, one hundred thirty-six".