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10189598496 = 25371147139211
BaseRepresentation
bin10010111110101100…
…01110111100100000
3222022010112020100220
421133112032330200
5131332014122441
64403034243040
7510336105150
oct113726167440
928263466326
1010189598496
114359843190
121b84586480
13c6507222c
146c93d8760
153e9860466
hex25f58ef20

10189598496 has 384 divisors, whose sum is σ = 34464890880. Its totient is φ = 2559513600.

The previous prime is 10189598477. The next prime is 10189598527. The reversal of 10189598496 is 69489598101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48291831 + ... + 48292041.

It is an arithmetic number, because the mean of its divisors is an integer number (89752320).

Almost surely, 210189598496 is an apocalyptic number.

10189598496 is a gapful number since it is divisible by the number (16) 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 10189598496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17232445440).

10189598496 is an abundant number, since it is smaller than the sum of its proper divisors (24275292384).

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

10189598496 is a wasteful number, since it uses less digits than its factorization.

10189598496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 60.

The spelling of 10189598496 in words is "ten billion, one hundred eighty-nine million, five hundred ninety-eight thousand, four hundred ninety-six".