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9947125386 = 23211673112411
BaseRepresentation
bin10010100001110010…
…10001011010001010
3221200020021022210100
421100321101122022
5130332431003021
64323013230230
7501333112362
oct112071213212
927606238710
109947125386
114244990590
121b17332376
13c26a66813
146a511b9a2
153d3416626
hex250e5168a

9947125386 has 96 divisors (see below), whose sum is σ = 23948960256. Its totient is φ = 2958516000.

The previous prime is 9947125373. The next prime is 9947125393. The reversal of 9947125386 is 6835217499.

9947125386 is a `hidden beast` number, since 9 + 94 + 7 + 12 + 538 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4124521 + ... + 4126931.

It is an arithmetic number, because the mean of its divisors is an integer number (249468336).

Almost surely, 29947125386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9947125386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11974480128).

9947125386 is an abundant number, since it is smaller than the sum of its proper divisors (14001834870).

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

9947125386 is a wasteful number, since it uses less digits than its factorization.

9947125386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2805 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 9947125386 is about 99735.2765374419. The cubic root of 9947125386 is about 2150.6308144309.

The spelling of 9947125386 in words is "nine billion, nine hundred forty-seven million, one hundred twenty-five thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 134 198 201 311 402 603 622 737 933 1206 1474 1866 2211 2411 2799 3421 4422 4822 5598 6633 6842 7233 10263 13266 14466 20526 20837 21699 26521 30789 41674 43398 53042 61578 62511 79563 125022 159126 161537 187533 229207 238689 323074 375066 458414 477378 484611 687621 749821 969222 1375242 1453833 1499642 1776907 2062863 2249463 2907666 3553814 4125726 4498926 5330721 6748389 8248031 10661442 13496778 15992163 16496062 24744093 31984326 49488186 50238007 74232279 100476014 148464558 150714021 301428042 452142063 552618077 904284126 1105236154 1657854231 3315708462 4973562693 9947125386