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9706634028 = 2235721361257
BaseRepresentation
bin10010000101000111…
…10111101100101100
3221001110202002200000
421002203313230230
5124334344242103
64243102504300
7462353012400
oct110243675454
927043662600
109706634028
1141311618a3
121a6a895090
13bb8ca3140
146811d9100
153bc25eaa3
hex2428f7b2c

9706634028 has 432 divisors, whose sum is σ = 32524730784. Its totient is φ = 2508226560.

The previous prime is 9706634023. The next prime is 9706634053. The reversal of 9706634028 is 8204366079.

9706634028 is a `hidden beast` number, since 9 + 7 + 0 + 6 + 634 + 0 + 2 + 8 = 666.

9706634028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9706634023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37768876 + ... + 37769132.

Almost surely, 29706634028 is an apocalyptic number.

9706634028 is a gapful number since it is divisible by the number (98) 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 9706634028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16262365392).

9706634028 is an abundant number, since it is smaller than the sum of its proper divisors (22818096756).

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

9706634028 is a wasteful number, since it uses less digits than its factorization.

9706634028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 9706634028 is about 98522.2514359066. The cubic root of 9706634028 is about 2133.1573171726.

The spelling of 9706634028 in words is "nine billion, seven hundred six million, six hundred thirty-four thousand, twenty-eight".