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9628665696 = 253413377723
BaseRepresentation
bin10001111011110100…
…11100011101100000
3220212001000220020000
420331322130131200
5124204414300241
64231235420000
7460415210436
oct107572343540
926761026200
109628665696
1140a1149061
121a48754600
13ba5aa4730
14674b00d56
153b54aceb6
hex23de9c760

9628665696 has 240 divisors, whose sum is σ = 31324187664. Its totient is φ = 2882221056.

The previous prime is 9628665677. The next prime is 9628665731. The reversal of 9628665696 is 6965668269.

9628665696 is a `hidden beast` number, since 9 + 6 + 2 + 8 + 66 + 569 + 6 = 666.

It is a super-2 number, since 2×96286656962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1242891 + ... + 1250613.

Almost surely, 29628665696 is an apocalyptic number.

9628665696 is a gapful number since it is divisible by the number (96) 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 9628665696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15662093832).

9628665696 is an abundant number, since it is smaller than the sum of its proper divisors (21695521968).

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

9628665696 is a wasteful number, since it uses less digits than its factorization.

9628665696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7795 (or 7778 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The square root of 9628665696 is about 98125.7646900140. The cubic root of 9628665696 is about 2127.4304423860.

The spelling of 9628665696 in words is "nine billion, six hundred twenty-eight million, six hundred sixty-five thousand, six hundred ninety-six".