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139891795200 = 283552293307
BaseRepresentation
bin1000001001001000110…
…0110110010100000000
3111101002022002111200000
42002102030312110000
54242444244421300
6144133154400000
713051435432263
oct2022214662400
9441068074600
10139891795200
11543672a9293
1223141590000
1310265337aa1
146ab1102cda
15398b49ac00
hex2092336500

139891795200 has 648 divisors, whose sum is σ = 522134060448. Its totient is φ = 37056061440.

The previous prime is 139891795189. The next prime is 139891795201. The reversal of 139891795200 is 2597198931.

139891795200 is a `hidden beast` number, since 1 + 39 + 89 + 1 + 7 + 9 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139891795201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 455673447 + ... + 455673753.

Almost surely, 2139891795200 is an apocalyptic number.

139891795200 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 139891795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261067030224).

139891795200 is an abundant number, since it is smaller than the sum of its proper divisors (382242265248).

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

139891795200 is an equidigital number, since it uses as much as digits as its factorization.

139891795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 139891795200 in words is "one hundred thirty-nine billion, eight hundred ninety-one million, seven hundred ninety-five thousand, two hundred".