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139778612064 = 253372131913367
BaseRepresentation
bin1000001000101101110…
…1000101101101100000
3111100210102010012121000
42002023131011231200
54242231311041224
6144114032432000
713045562412300
oct2021335055540
9440712105530
10139778612064
1154309423103
122310b6a8600
1310247a59910
146aa007d600
1539815900c9
hex208b745b60

139778612064 has 576 divisors, whose sum is σ = 537650265600. Its totient is φ = 34921829376.

The previous prime is 139778612033. The next prime is 139778612093. The reversal of 139778612064 is 460216877931.

139778612064 is a `hidden beast` number, since 1 + 397 + 78 + 6 + 120 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 139778612064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10450309 + ... + 10463675.

It is an arithmetic number, because the mean of its divisors is an integer number (933420600).

Almost surely, 2139778612064 is an apocalyptic number.

139778612064 is a gapful number since it is divisible by the number (14) 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 139778612064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268825132800).

139778612064 is an abundant number, since it is smaller than the sum of its proper divisors (397871653536).

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

139778612064 is a wasteful number, since it uses less digits than its factorization.

139778612064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13432 (or 13411 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 139778612064 in words is "one hundred thirty-nine billion, seven hundred seventy-eight million, six hundred twelve thousand, sixty-four".