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9957324390 = 2351359643673
BaseRepresentation
bin10010100011000000…
…01011011001100110
3221200221110111012020
421101200023121212
5130343033340030
64324020004010
7501515601156
oct112140133146
927627414166
109957324390
11424a717212
121b1a830606
13c28bc7b30
146a6614766
153d427d510
hex25180b666

9957324390 has 128 divisors (see below), whose sum is σ = 26251706880. Its totient is φ = 2402168832.

The previous prime is 9957324389. The next prime is 9957324397. The reversal of 9957324390 is 934237599.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9957324397) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14795094 + ... + 14795766.

It is an arithmetic number, because the mean of its divisors is an integer number (205091460).

Almost surely, 29957324390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9957324390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13125853440).

9957324390 is an abundant number, since it is smaller than the sum of its proper divisors (16294382490).

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

9957324390 is a wasteful number, since it uses less digits than its factorization.

9957324390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398.

The product of its (nonzero) digits is 1837080, while the sum is 51.

The square root of 9957324390 is about 99786.3938119822. The cubic root of 9957324390 is about 2151.3655928762.

The spelling of 9957324390 in words is "nine billion, nine hundred fifty-seven million, three hundred twenty-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 59 65 78 118 130 177 195 295 354 390 590 643 673 767 885 1286 1346 1534 1770 1929 2019 2301 3215 3365 3835 3858 4038 4602 6430 6730 7670 8359 8749 9645 10095 11505 16718 17498 19290 20190 23010 25077 26247 37937 39707 41795 43745 50154 52494 75874 79414 83590 87490 113811 119121 125385 131235 189685 198535 227622 238242 250770 262470 379370 397070 432739 493181 516191 569055 595605 865478 986362 1032382 1138110 1191210 1298217 1479543 1548573 2163695 2465905 2580955 2596434 2959086 3097146 4327390 4931810 5161910 5625607 6491085 7397715 7742865 11251214 12982170 14795430 15485730 16876821 25531601 28128035 33753642 51063202 56256070 76594803 84384105 127658005 153189606 168768210 255316010 331910813 382974015 663821626 765948030 995732439 1659554065 1991464878 3319108130 4978662195 9957324390