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10478107080 = 23335721719613
BaseRepresentation
bin10011100001000101…
…10011100111001000
31000001020101222202000
421300202303213020
5132424343411310
64451422111000
7520441304100
oct116042634710
930036358660
1010478107080
114497688a31
12204511b460
13caca7867c
1471585a200
15414d4e4c0
hex2708b39c8

10478107080 has 768 divisors, whose sum is σ = 45357408000. Its totient is φ = 2131992576.

The previous prime is 10478107039. The next prime is 10478107091. The reversal of 10478107080 is 8070187401.

10478107080 is a `hidden beast` number, since 1 + 0 + 478 + 107 + 0 + 80 = 666.

It is a super-2 number, since 2×104781070802 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17092854 + ... + 17093466.

It is an arithmetic number, because the mean of its divisors is an integer number (59059125).

Almost surely, 210478107080 is an apocalyptic number.

10478107080 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 10478107080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22678704000).

10478107080 is an abundant number, since it is smaller than the sum of its proper divisors (34879300920).

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

10478107080 is a wasteful number, since it uses less digits than its factorization.

10478107080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 10478107080 in words is "ten billion, four hundred seventy-eight million, one hundred seven thousand, eighty".