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10448316480 = 263572336673
BaseRepresentation
bin10011011101100010…
…01010100001000000
3222222011100110201110
421232301022201000
5132344232111410
64444435403320
7516630140040
oct115661124100
928864313643
1010448316480
1144818908a8
122037153540
13ca6847ab4
14711903720
15412417720
hex26ec4a840

10448316480 has 224 divisors, whose sum is σ = 38080882944. Its totient is φ = 2377580544.

The previous prime is 10448316443. The next prime is 10448316493. The reversal of 10448316480 is 8461384401.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1562424 + ... + 1569096.

Almost surely, 210448316480 is an apocalyptic number.

10448316480 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 10448316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19040441472).

10448316480 is an abundant number, since it is smaller than the sum of its proper divisors (27632566464).

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

10448316480 is a wasteful number, since it uses less digits than its factorization.

10448316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6933 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 10448316480 in words is "ten billion, four hundred forty-eight million, three hundred sixteen thousand, four hundred eighty".