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139393747584 = 2734713147743
BaseRepresentation
bin1000000111010010000…
…0111100101010000000
3111022210120221001210000
42001310200330222000
54240434244410314
6144011523440000
713033210206360
oct2016440745200
9438716831700
10139393747584
1154131155793
1223022826000
13101b60b7560
146a64cd89a0
15395c8bb209
hex207483ca80

139393747584 has 320 divisors, whose sum is σ = 510567805440. Its totient is φ = 36762937344.

The previous prime is 139393747573. The next prime is 139393747607. The reversal of 139393747584 is 485747393931.

It is a happy number.

139393747584 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 9 + 3 + 7 + 47 + 584 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 869617 + ... + 1017359.

It is an arithmetic number, because the mean of its divisors is an integer number (1595524392).

Almost surely, 2139393747584 is an apocalyptic number.

139393747584 is a gapful number since it is divisible by the number (14) 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 139393747584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255283902720).

139393747584 is an abundant number, since it is smaller than the sum of its proper divisors (371174057856).

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

139393747584 is a wasteful number, since it uses less digits than its factorization.

139393747584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147789 (or 147768 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 139393747584 in words is "one hundred thirty-nine billion, three hundred ninety-three million, seven hundred forty-seven thousand, five hundred eighty-four".