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138569236704 = 25334797127277
BaseRepresentation
bin1000000100001101011…
…1101100000011100000
3111020200010110120111000
42001003113230003200
54232242211033304
6143354031352000
713003606035513
oct2010327540340
9436603416430
10138569236704
11538487a3538
1222a32682600
13100b4331cb2
1469c75ccd7a
153910301939
hex20435ec0e0

138569236704 has 384 divisors, whose sum is σ = 421815582720. Its totient is φ = 44228395008.

The previous prime is 138569236681. The next prime is 138569236711. The reversal of 138569236704 is 407632965831.

138569236704 is a `hidden beast` number, since 1 + 3 + 8 + 569 + 2 + 3 + 6 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 500249814 + ... + 500250090.

It is an arithmetic number, because the mean of its divisors is an integer number (1098478080).

It is a 1-persistent number, because it is pandigital, but 2⋅138569236704 = 277138473408 is not.

Almost surely, 2138569236704 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 138569236704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210907791360).

138569236704 is an abundant number, since it is smaller than the sum of its proper divisors (283246346016).

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

138569236704 is a wasteful number, since it uses less digits than its factorization.

138569236704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 138569236704 in words is "one hundred thirty-eight billion, five hundred sixty-nine million, two hundred thirty-six thousand, seven hundred four".