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9664462080 = 283357213439
BaseRepresentation
bin10010000000000101…
…11111110100000000
3220221112101112122000
421000002333310000
5124243100241310
64234554544000
7461331400200
oct110002776400
926845345560
109664462080
11410a378449
121a58738000
13bb0328b20
1467977c400
153b86ce4c0
hex2400bfd00

9664462080 has 864 divisors, whose sum is σ = 43061356800. Its totient is φ = 2034450432.

The previous prime is 9664462079. The next prime is 9664462097. The reversal of 9664462080 is 802644669.

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 22014501 + ... + 22014939.

Almost surely, 29664462080 is an apocalyptic number.

9664462080 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 9664462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21530678400).

9664462080 is an abundant number, since it is smaller than the sum of its proper divisors (33396894720).

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

9664462080 is a wasteful number, since it uses less digits than its factorization.

9664462080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 9664462080 is about 98307.9960125320. The cubic root of 9664462080 is about 2130.0635569212.

The spelling of 9664462080 in words is "nine billion, six hundred sixty-four million, four hundred sixty-two thousand, eighty".