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139661383680 = 2113357213261
BaseRepresentation
bin1000001000010001110…
…1111001100000000000
3111100111020112101111000
42002010131321200000
54242011303234210
6144054244052000
713042640113500
oct2020435714000
9440436471430
10139661383680
1154259234745
1223098394000
1310229693400
146a8c685a00
153976135ac0
hex2084779800

139661383680 has 1728 divisors, whose sum is σ = 635598381600. Its totient is φ = 28983951360.

The previous prime is 139661383669. The next prime is 139661383699. The reversal of 139661383680 is 86383166931.

139661383680 is a `hidden beast` number, since 13 + 9 + 6 + 613 + 8 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 143 ways as a sum of consecutive naturals, for example, 2289530850 + ... + 2289530910.

Almost surely, 2139661383680 is an apocalyptic number.

139661383680 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 139661383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317799190800).

139661383680 is an abundant number, since it is smaller than the sum of its proper divisors (495936997920).

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

139661383680 is a wasteful number, since it uses less digits than its factorization.

139661383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 139661383680 in words is "one hundred thirty-nine billion, six hundred sixty-one million, three hundred eighty-three thousand, six hundred eighty".