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10115394048 = 293641661
BaseRepresentation
bin10010110101110110…
…01010101000000000
3222002221220021000000
421122323022220000
5131204020102143
64351424000000
7505445300514
oct113273125000
928087807000
1010115394048
1143209702a1
121b63760000
13c52890a86
146bd600144
153e30a3bd3
hex25aecaa00

10115394048 has 280 divisors, whose sum is σ = 31088736756. Its totient is φ = 3284582400.

The previous prime is 10115394031. The next prime is 10115394049. The reversal of 10115394048 is 84049351101.

It can be written as a sum of positive squares in 2 ways, for example, as 9958443264 + 156950784 = 99792^2 + 12528^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10115394049) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 15302838 + ... + 15303498.

Almost surely, 210115394048 is an apocalyptic number.

10115394048 is a gapful number since it is divisible by the number (18) 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 10115394048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15544368378).

10115394048 is an abundant number, since it is smaller than the sum of its proper divisors (20973342708).

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

10115394048 is an frugal number, since it uses more digits than its factorization.

10115394048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10115394048 in words is "ten billion, one hundred fifteen million, three hundred ninety-four thousand, forty-eight".