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10128399360 = 210353189239
BaseRepresentation
bin10010110111011001…
…10001110000000000
3222010212100222221020
421123230301300000
5131220332234420
64353010425440
7505663655052
oct113354616000
928125328836
1010128399360
114328243392
121b67b92280
13c55495521
146c12278d2
153e42c2340
hex25bb31c00

10128399360 has 352 divisors, whose sum is σ = 33957273600. Its totient is φ = 2573598720.

The previous prime is 10128399311. The next prime is 10128399361. The reversal of 10128399360 is 6399382101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10128399361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42378121 + ... + 42378359.

Almost surely, 210128399360 is an apocalyptic number.

10128399360 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 10128399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16978636800).

10128399360 is an abundant number, since it is smaller than the sum of its proper divisors (23828874240).

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

10128399360 is a wasteful number, since it uses less digits than its factorization.

10128399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 10128399360 in words is "ten billion, one hundred twenty-eight million, three hundred ninety-nine thousand, three hundred sixty".