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9906245728 = 252317377801
BaseRepresentation
bin10010011100111010…
…10101000001100000
3221120101100102102221
421032131111001200
5130241444330403
64314553120424
7500325461611
oct111635250140
927511312387
109906245728
1142238aa045
121b056b9114
13c1b452782
1469d919c08
153cea3ddbd
hex24e755060

9906245728 has 48 divisors (see below), whose sum is σ = 20468772576. Its totient is φ = 4710323200.

The previous prime is 9906245711. The next prime is 9906245743. The reversal of 9906245728 is 8275426099.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88428 + ... + 166228.

It is an arithmetic number, because the mean of its divisors is an integer number (426432762).

Almost surely, 29906245728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9906245728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10234386288).

9906245728 is an abundant number, since it is smaller than the sum of its proper divisors (10562526848).

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

9906245728 is a wasteful number, since it uses less digits than its factorization.

9906245728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78007 (or 77999 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The square root of 9906245728 is about 99530.1247261351. The cubic root of 9906245728 is about 2147.6806232303.

The spelling of 9906245728 in words is "nine billion, nine hundred six million, two hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 173 184 346 368 692 736 1384 2768 3979 5536 7958 15916 31832 63664 77801 127328 155602 311204 622408 1244816 1789423 2489632 3578846 7157692 13459573 14315384 26919146 28630768 53838292 57261536 107676584 215353168 309570179 430706336 619140358 1238280716 2476561432 4953122864 9906245728