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139294617840 = 2435574792137
BaseRepresentation
bin1000000110111010011…
…0110011000011110000
3111022112200101202100000
42001232212303003300
54240233410232330
6143554023030000
713030564500360
oct2015646630360
9438480352300
10139294617840
11540901a9084
1222bb559b300
131019b6b9bc1
146a55a929a0
153953d39560
hex206e9b30f0

139294617840 has 480 divisors, whose sum is σ = 555844423680. Its totient is φ = 31757432832.

The previous prime is 139294617821. The next prime is 139294617851. The reversal of 139294617840 is 48716492931.

139294617840 is a `hidden beast` number, since 1 + 392 + 9 + 46 + 178 + 40 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65181252 + ... + 65183388.

It is an arithmetic number, because the mean of its divisors is an integer number (1158009216).

Almost surely, 2139294617840 is an apocalyptic number.

139294617840 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 139294617840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277922211840).

139294617840 is an abundant number, since it is smaller than the sum of its proper divisors (416549805840).

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

139294617840 is a wasteful number, since it uses less digits than its factorization.

139294617840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 139294617840 in words is "one hundred thirty-nine billion, two hundred ninety-four million, six hundred seventeen thousand, eight hundred forty".