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138911986275840 = 2932541891652279
BaseRepresentation
bin11111100101011011110111…
…100110001101011000000000
3200012211212010011110200012200
4133211123313212031120000
5121201413221441311330
61211235141400553200
741155026342155121
oct3745336746153000
9605755104420180
10138911986275840
1140297273908748
12136b60a7182800
135c68461ca324b
142643539aac048
15110d645e99a60
hex7e56f798d600

138911986275840 has 480 divisors, whose sum is σ = 498362874609600. Its totient is φ = 35733618032640.

The previous prime is 138911986275787. The next prime is 138911986275911. The reversal of 138911986275840 is 48572689119831.

It is a happy number.

138911986275840 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 1 + 19 + 8 + 6 + 27 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83246821 + ... + 84899099.

It is an arithmetic number, because the mean of its divisors is an integer number (1038255988770).

It is a 1-persistent number, because it is pandigital, but 2⋅138911986275840 = 277823972551680 is not.

Almost surely, 2138911986275840 is an apocalyptic number.

138911986275840 is a gapful number since it is divisible by the number (10) 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 138911986275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249181437304800).

138911986275840 is an abundant number, since it is smaller than the sum of its proper divisors (359450888333760).

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

138911986275840 is a wasteful number, since it uses less digits than its factorization.

138911986275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652438 (or 1652419 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 138911986275840 in words is "one hundred thirty-eight trillion, nine hundred eleven billion, nine hundred eighty-six million, two hundred seventy-five thousand, eight hundred forty".