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11328458960 = 24572133171101
BaseRepresentation
bin10101000110011101…
…01001000011010000
31002020111111100020002
422203032221003100
5141200041141320
65112040105132
7550505212100
oct124316510320
932214440202
1011328458960
11489368a985
122241a651a8
1310b6caab70
14796771200
15464820675
hex2a33a90d0

11328458960 has 480 divisors, whose sum is σ = 34881767424. Its totient is φ = 3386880000.

The previous prime is 11328458941. The next prime is 11328458983. The reversal of 11328458960 is 6985482311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112162910 + ... + 112163010.

Almost surely, 211328458960 is an apocalyptic number.

11328458960 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 11328458960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17440883712).

11328458960 is an abundant number, since it is smaller than the sum of its proper divisors (23553308464).

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

11328458960 is a wasteful number, since it uses less digits than its factorization.

11328458960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The spelling of 11328458960 in words is "eleven billion, three hundred twenty-eight million, four hundred fifty-eight thousand, nine hundred sixty".