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104054063616 = 293319421941
BaseRepresentation
bin110000011101000011…
…0110000001000000000
3100221120201002010001000
41200322012300020000
53201100320013431
6115445103412000
710342361642646
oct1407206601000
9327521063030
10104054063616
11401468960a8
12181bb5b4000
139a736b0059
145071649196
152a900dd9e6
hex183a1b0200

104054063616 has 320 divisors, whose sum is σ = 325333641600. Its totient is φ = 32746291200.

The previous prime is 104054063591. The next prime is 104054063627. The reversal of 104054063616 is 616360450401.

It is a happy number.

104054063616 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 5 + 4 + 0 + 636 + 16 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110577706 + ... + 110578646.

It is an arithmetic number, because the mean of its divisors is an integer number (1016667630).

Almost surely, 2104054063616 is an apocalyptic number.

104054063616 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 104054063616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162666820800).

104054063616 is an abundant number, since it is smaller than the sum of its proper divisors (221279577984).

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

104054063616 is an equidigital number, since it uses as much as digits as its factorization.

104054063616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 104054063616 in words is "one hundred four billion, fifty-four million, sixty-three thousand, six hundred sixteen".