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8896716000 = 253953113
BaseRepresentation
bin10000100100100100…
…10001110011100000
3211222000202000000000
420102102101303200
5121210024403000
64030451300000
7433316560344
oct102222216340
924860660000
108896716000
113855a67457
1218835aa600
13aba259ac3
1460580b624
153710c9000
hex212491ce0

8896716000 has 480 divisors, whose sum is σ = 33078453408. Its totient is φ = 2351462400.

The previous prime is 8896715981. The next prime is 8896716007. The reversal of 8896716000 is 6176988.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8896716007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78731944 + ... + 78732056.

Almost surely, 28896716000 is an apocalyptic number.

8896716000 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 8896716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16539226704).

8896716000 is an abundant number, since it is smaller than the sum of its proper divisors (24181737408).

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

8896716000 is an frugal number, since it uses more digits than its factorization.

8896716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 8896716000 is about 94322.4045495024. The cubic root of 8896716000 is about 2072.0961752787.

The spelling of 8896716000 in words is "eight billion, eight hundred ninety-six million, seven hundred sixteen thousand".