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10423860480 = 2832511431913
BaseRepresentation
bin10011011010100111…
…10111110100000000
3222220110022222101200
421231103313310000
5132322002013410
64442203301200
7516212231535
oct115523676400
928813288350
1010423860480
114469aa7730
12202ab1a800
13ca17643a7
1470c578d8c
154101d63c0
hex26d4f7d00

10423860480 has 432 divisors, whose sum is σ = 40280175936. Its totient is φ = 2466938880.

The previous prime is 10423860449. The next prime is 10423860493. The reversal of 10423860480 is 8406832401.

10423860480 is a `hidden beast` number, since 1 + 0 + 42 + 3 + 8 + 604 + 8 + 0 = 666.

10423860480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5448004 + ... + 5449916.

It is an arithmetic number, because the mean of its divisors is an integer number (93241148).

Almost surely, 210423860480 is an apocalyptic number.

10423860480 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 10423860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20140087968).

10423860480 is an abundant number, since it is smaller than the sum of its proper divisors (29856315456).

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

10423860480 is a wasteful number, since it uses less digits than its factorization.

10423860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10423860480 in words is "ten billion, four hundred twenty-three million, eight hundred sixty thousand, four hundred eighty".