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9887374080 = 283351716829
BaseRepresentation
bin10010011010101010…
…10101101100000000
3221112001211122102000
421031111111230000
5130222131432310
64313040424000
7500006202333
oct111525255400
927461748360
109887374080
11421418a541
121abb318000
13c17575b0c
1469b20661a
153cd0624c0
hex24d555b00

9887374080 has 288 divisors, whose sum is σ = 37152561600. Its totient is φ = 2481389568.

The previous prime is 9887374051. The next prime is 9887374121. The reversal of 9887374080 is 804737889.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579106 + ... + 595934.

It is an arithmetic number, because the mean of its divisors is an integer number (129001950).

Almost surely, 29887374080 is an apocalyptic number.

9887374080 is a gapful number since it is divisible by the number (90) 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 9887374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18576280800).

9887374080 is an abundant number, since it is smaller than the sum of its proper divisors (27265187520).

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

9887374080 is a wasteful number, since it uses less digits than its factorization.

9887374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16876 (or 16856 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 9887374080 is about 99435.2758330765. The cubic root of 9887374080 is about 2146.3159610368.

The spelling of 9887374080 in words is "nine billion, eight hundred eighty-seven million, three hundred seventy-four thousand, eighty".