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52007119056420 = 2235112931127751919
BaseRepresentation
bin10111101001100110110011…
…10110110110111000100100
320211010211110112202122121020
423310303121312312320210
523304041034434301140
6302335423552251140
713645250615046543
oct1364633166667044
9224124415678536
1052007119056420
1115631105980380
1259bb3b2b40ab0
132303333b46868
14cbb22d76615a
15602c57b226d0
hex2f4cd9db6e24

52007119056420 has 768 divisors, whose sum is σ = 171386811187200. Its totient is φ = 11659334400000.

The previous prime is 52007119056401. The next prime is 52007119056433. The reversal of 52007119056420 is 2465091170025.

It is a super-2 number, since 2×520071190564202 (a number of 28 digits) contains 22 as substring.

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, 56590988721 + ... + 56590989639.

It is an arithmetic number, because the mean of its divisors is an integer number (223159910400).

Almost surely, 252007119056420 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 52007119056420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85693405593600).

52007119056420 is an abundant number, since it is smaller than the sum of its proper divisors (119379692130780).

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

52007119056420 is a wasteful number, since it uses less digits than its factorization.

52007119056420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 52007119056420 in words is "fifty-two trillion, seven billion, one hundred nineteen million, fifty-six thousand, four hundred twenty".