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9992343680 = 275116192293
BaseRepresentation
bin10010100111001011…
…10001000010000000
3221210101100122121222
421103211301002000
5130431014444210
64331310334212
7502422343214
oct112345610200
927711318558
109992343680
114268465780
121b2a4ba368
13c332395c7
146ab12c944
153d7399655
hex253971080

9992343680 has 128 divisors (see below), whose sum is σ = 26113060800. Its totient is φ = 3626127360.

The previous prime is 9992343661. The next prime is 9992343709. The reversal of 9992343680 is 863432999.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4356614 + ... + 4358906.

Almost surely, 29992343680 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 9992343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13056530400).

9992343680 is an abundant number, since it is smaller than the sum of its proper divisors (16120717120).

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

9992343680 is a wasteful number, since it uses less digits than its factorization.

9992343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 53.

The square root of 9992343680 is about 99961.7110697891. The cubic root of 9992343680 is about 2153.8847149349.

The spelling of 9992343680 in words is "nine billion, nine hundred ninety-two million, three hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 619 640 704 880 1238 1408 1760 2293 2476 3095 3520 4586 4952 6190 6809 7040 9172 9904 11465 12380 13618 18344 19808 22930 24760 25223 27236 34045 36688 39616 45860 49520 50446 54472 68090 73376 79232 91720 99040 100892 108944 126115 136180 146752 183440 198080 201784 217888 252230 272360 293504 366880 396160 403568 435776 504460 544720 733760 807136 871552 1008920 1089440 1419367 1467520 1614272 2017840 2178880 2838734 3228544 4035680 4357760 5677468 7096835 8071360 11354936 14193670 15613037 16142720 22709872 28387340 31226074 45419744 56774680 62452148 78065185 90839488 113549360 124904296 156130370 181678976 227098720 249808592 312260740 454197440 499617184 624521480 908394880 999234368 1249042960 1998468736 2498085920 4996171840 9992343680