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104890477104 = 24327833473613
BaseRepresentation
bin110000110101111110…
…1011010101000110000
3101000201222221022122100
41201223331122220300
53204303430231404
6120104102540400
710402166226150
oct1415375325060
9330658838570
10104890477104
1140535a37a16
12183b3737700
139b77a7218a
145110772760
152add759d39
hex186bf5aa30

104890477104 has 240 divisors, whose sum is σ = 340597700352. Its totient is φ = 29514143232.

The previous prime is 104890477099. The next prime is 104890477117. The reversal of 104890477104 is 401774098401.

It is a happy number.

It is a super-2 number, since 2×1048904771042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104890477104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29029602 + ... + 29033214.

Almost surely, 2104890477104 is an apocalyptic number.

104890477104 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 104890477104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170298850176).

104890477104 is an abundant number, since it is smaller than the sum of its proper divisors (235707223248).

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

104890477104 is a wasteful number, since it uses less digits than its factorization.

104890477104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 104890477104 in words is "one hundred four billion, eight hundred ninety million, four hundred seventy-seven thousand, one hundred four".