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104399979840 = 2634513223833
BaseRepresentation
bin110000100111010111…
…0010100010101000000
3100222110210222110220000
41201032232110111000
53202302343323330
6115543301520000
710354062121032
oct1411656242500
9328423873800
10104399979840
1140304081082
1218297413000
139aca266500
1450a5571c52
152ab066c560
hex184eb94540

104399979840 has 420 divisors, whose sum is σ = 402150271644. Its totient is φ = 25697378304.

The previous prime is 104399979829. The next prime is 104399979847. The reversal of 104399979840 is 48979993401.

104399979840 is a `hidden beast` number, since 1 + 0 + 439 + 99 + 79 + 8 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6125253696 + 98274726144 = 78264^2 + 313488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104399979847) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4368564 + ... + 4392396.

Almost surely, 2104399979840 is an apocalyptic number.

104399979840 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 104399979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201075135822).

104399979840 is an abundant number, since it is smaller than the sum of its proper divisors (297750291804).

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

104399979840 is a wasteful number, since it uses less digits than its factorization.

104399979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23888 (or 23856 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 104399979840 in words is "one hundred four billion, three hundred ninety-nine million, nine hundred seventy-nine thousand, eight hundred forty".