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139922235648 = 28341317191607
BaseRepresentation
bin1000001001010000000…
…0111110000100000000
3111101011102101001010000
42002110000332010000
54243030043020043
6144140203040000
713052255244036
oct2022400760400
9441142331100
10139922235648
11543824aa688
122314b810000
131026b7353a0
146ab5188556
15398deb02d3
hex209403e100

139922235648 has 720 divisors, whose sum is σ = 501098209920. Its totient is φ = 38363922432.

The previous prime is 139922235637. The next prime is 139922235653. The reversal of 139922235648 is 846532229931.

139922235648 is a `hidden beast` number, since 1 + 39 + 9 + 22 + 23 + 564 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 139922235594 and 139922235603.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87069661 + ... + 87071267.

It is an arithmetic number, because the mean of its divisors is an integer number (695969736).

Almost surely, 2139922235648 is an apocalyptic number.

139922235648 is a gapful number since it is divisible by the number (18) 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 139922235648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250549104960).

139922235648 is an abundant number, since it is smaller than the sum of its proper divisors (361175974272).

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

139922235648 is a wasteful number, since it uses less digits than its factorization.

139922235648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1661 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 139922235648 in words is "one hundred thirty-nine billion, nine hundred twenty-two million, two hundred thirty-five thousand, six hundred forty-eight".