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8973296640 = 210345711281
BaseRepresentation
bin10000101101101100…
…11010010000000000
3212011100211200220000
420112312122100000
5121334130443030
64042224520000
7435236522460
oct102666322000
925140750800
108973296640
113895212640
1218a5180000
13b000909a9
14611a63ba0
15377ba4860
hex216d9a400

8973296640 has 880 divisors, whose sum is σ = 40232294784. Its totient is φ = 1857945600.

The previous prime is 8973296627. The next prime is 8973296663. The reversal of 8973296640 is 466923798.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (880).

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 79 ways as a sum of consecutive naturals, for example, 31933300 + ... + 31933580.

Almost surely, 28973296640 is an apocalyptic number.

8973296640 is a gapful number since it is divisible by the number (80) 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 8973296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20116147392).

8973296640 is an abundant number, since it is smaller than the sum of its proper divisors (31258998144).

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

8973296640 is a wasteful number, since it uses less digits than its factorization.

8973296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 8973296640 is about 94727.4861906511. The cubic root of 8973296640 is about 2078.0245544275.

The spelling of 8973296640 in words is "eight billion, nine hundred seventy-three million, two hundred ninety-six thousand, six hundred forty".