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9656007660 = 223251322337373
BaseRepresentation
bin10001111111000101…
…01111101111101100
3220220221111000100100
420333202233233230
5124233414221120
64234053431100
7461166465555
oct107742575754
926827430310
109656007660
114105623522
121a5593b490
13bab658900
146785bb32c
153b7aae490
hex23f8afbec

9656007660 has 432 divisors, whose sum is σ = 34080830784. Its totient is φ = 2206144512.

The previous prime is 9656007617. The next prime is 9656007671. The reversal of 9656007660 is 667006569.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25887234 + ... + 25887606.

It is an arithmetic number, because the mean of its divisors is an integer number (78890812).

Almost surely, 29656007660 is an apocalyptic number.

9656007660 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 9656007660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17040415392).

9656007660 is an abundant number, since it is smaller than the sum of its proper divisors (24424823124).

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

9656007660 is a wasteful number, since it uses less digits than its factorization.

9656007660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 9656007660 is about 98264.9869485566. The cubic root of 9656007660 is about 2129.4422529599.

The spelling of 9656007660 in words is "nine billion, six hundred fifty-six million, seven thousand, six hundred sixty".