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139127700805632 = 211367211832083
BaseRepresentation
bin11111101000100100110001…
…001011110101100000000000
3200020121110220200102012000000
4133220210301023311200000
5121213432012401240012
61211522214452000000
741206434060336600
oct3750446113654000
9606543820365000
10139127700805632
114036a7aa064750
121372ba69600000
135c828bbb97156
14264db60c50c00
15111406dd25ddc
hex7e89312f5800

139127700805632 has 2016 divisors, whose sum is σ = 535928891883840. Its totient is φ = 35684539269120.

The previous prime is 139127700805631. The next prime is 139127700805649. The reversal of 139127700805632 is 236508007721931.

139127700805632 is a `hidden beast` number, since 1 + 3 + 9 + 1 + 2 + 7 + 70 + 0 + 8 + 0 + 563 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×1391277008056322 (a number of 29 digits) contains 22 as substring.

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 (139127700805631) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 66791982063 + ... + 66791984145.

It is an arithmetic number, because the mean of its divisors is an integer number (265837743990).

Almost surely, 2139127700805632 is an apocalyptic number.

139127700805632 is a gapful number since it is divisible by the number (12) 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 139127700805632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267964445941920).

139127700805632 is an abundant number, since it is smaller than the sum of its proper divisors (396801191078208).

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

139127700805632 is an equidigital number, since it uses as much as digits as its factorization.

139127700805632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 139127700805632 in words is "one hundred thirty-nine trillion, one hundred twenty-seven billion, seven hundred million, eight hundred five thousand, six hundred thirty-two".