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104155289784 = 23327131737127199
BaseRepresentation
bin110000100000000100…
…0111001100010111000
3100221211202112221020100
41201000020321202320
53201302223233114
6115503121155400
710345031232660
oct1410010714270
9327752487210
10104155289784
1140198a44897
121822948bb60
139a8b6629b0
145080c791a0
152a98e36909
hex18402398b8

104155289784 has 768 divisors, whose sum is σ = 382427136000. Its totient is φ = 24831442944.

The previous prime is 104155289779. The next prime is 104155289789. The reversal of 104155289784 is 487982551401.

104155289784 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 552 + 8 + 9 + 7 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (104155289779) and next prime (104155289789).

It is a self number, because there is not a number n which added to its sum of digits gives 104155289784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104155289789) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 523393317 + ... + 523393515.

It is an arithmetic number, because the mean of its divisors is an integer number (497952000).

Almost surely, 2104155289784 is an apocalyptic number.

104155289784 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 104155289784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191213568000).

104155289784 is an abundant number, since it is smaller than the sum of its proper divisors (278271846216).

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

104155289784 is a wasteful number, since it uses less digits than its factorization.

104155289784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 104155289784 in words is "one hundred four billion, one hundred fifty-five million, two hundred eighty-nine thousand, seven hundred eighty-four".