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139621813632 = 27327231731093
BaseRepresentation
bin1000001000001000011…
…0111100110110000000
3111100101111002000120200
42002002012330312000
54241421141014012
6144050312005200
713041646556100
oct2020206746600
9440344060520
10139621813632
1154238968124
1223087090800
131022141a492
146a87305200
15397291b3dc
hex20821bcd80

139621813632 has 576 divisors, whose sum is σ = 489505311360. Its totient is φ = 38041436160.

The previous prime is 139621813631. The next prime is 139621813673. The reversal of 139621813632 is 236318126931.

139621813632 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 2 + 1 + 8 + 1 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139621813631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127741278 + ... + 127742370.

It is an arithmetic number, because the mean of its divisors is an integer number (849835610).

Almost surely, 2139621813632 is an apocalyptic number.

139621813632 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 139621813632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244752655680).

139621813632 is an abundant number, since it is smaller than the sum of its proper divisors (349883497728).

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

139621813632 is a wasteful number, since it uses less digits than its factorization.

139621813632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1209 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 139621813632 in words is "one hundred thirty-nine billion, six hundred twenty-one million, eight hundred thirteen thousand, six hundred thirty-two".