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10479430080 = 263457237223
BaseRepresentation
bin10011100001001111…
…10110100111000000
31000001022220012120000
421300213312213000
5132430213230310
64451510320000
7520455454200
oct116047664700
930038805500
1010479430080
114498401a19
122045659000
13cb011c902
14715ac2400
154150114c0
hex2709f69c0

10479430080 has 840 divisors, whose sum is σ = 44734935168. Its totient is φ = 2320109568.

The previous prime is 10479430079. The next prime is 10479430099. The reversal of 10479430080 is 8003497401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 46992849 + ... + 46993071.

Almost surely, 210479430080 is an apocalyptic number.

10479430080 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 10479430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22367467584).

10479430080 is an abundant number, since it is smaller than the sum of its proper divisors (34255505088).

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

10479430080 is a wasteful number, since it uses less digits than its factorization.

10479430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10479430080 in words is "ten billion, four hundred seventy-nine million, four hundred thirty thousand, eighty".