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538038611136 = 26331390726407
BaseRepresentation
bin1111101010001011001…
…10011010110011000000
31220102202211120101001000
413311011212122303000
532303400341024021
61051101014412000
753605045510305
oct7650546326300
91812684511030
10538038611136
111981a9851004
1288338061000
133b976a545c0
141c0811070ac
15dee0332b26
hex7d4599acc0

538038611136 has 224 divisors, whose sum is σ = 1705348359680. Its totient is φ = 165361554432.

The previous prime is 538038611113. The next prime is 538038611147. The reversal of 538038611136 is 631116830835.

538038611136 is a `hidden beast` number, since 53 + 80 + 386 + 11 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 538038611091 and 538038611100.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 20361645 + ... + 20388051.

It is an arithmetic number, because the mean of its divisors is an integer number (7613162320).

Almost surely, 2538038611136 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 538038611136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852674179840).

538038611136 is an abundant number, since it is smaller than the sum of its proper divisors (1167309748544).

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

538038611136 is a wasteful number, since it uses less digits than its factorization.

538038611136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27348 (or 27332 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 538038611136 in words is "five hundred thirty-eight billion, thirty-eight million, six hundred eleven thousand, one hundred thirty-six".