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139928475456 = 26337113743661
BaseRepresentation
bin1000001001010001100…
…0110001011101000000
3111101011212010001112000
42002110120301131000
54243033142203311
6144140544504000
713052362262640
oct2022430613500
9441155101460
10139928475456
1154385a81750
122315191b000
131026cb0b593
146ab5d30520
15398e7e4056
hex2094631740

139928475456 has 896 divisors, whose sum is σ = 539795435520. Its totient is φ = 34488115200.

The previous prime is 139928475437. The next prime is 139928475461. The reversal of 139928475456 is 654574829931.

139928475456 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 2 + 84 + 7 + 545 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 139928475393 and 139928475402.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 211691766 + ... + 211692426.

Almost surely, 2139928475456 is an apocalyptic number.

139928475456 is a gapful number since it is divisible by the number (16) 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 139928475456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269897717760).

139928475456 is an abundant number, since it is smaller than the sum of its proper divisors (399866960064).

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

139928475456 is a wasteful number, since it uses less digits than its factorization.

139928475456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 764 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 139928475456 in words is "one hundred thirty-nine billion, nine hundred twenty-eight million, four hundred seventy-five thousand, four hundred fifty-six".