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9996426180 = 22325139744041
BaseRepresentation
bin10010100111101010…
…10101101111000100
3221210200001001202200
421103311111233010
5130433041114210
64331534034500
7502502135436
oct112365255704
927720031680
109996426180
11426a7a3a44
121b2b948a30
13c340388a0
146ab8b2656
153d79040c0
hex253d55bc4

9996426180 has 144 divisors (see below), whose sum is σ = 32992390704. Its totient is φ = 2435235840.

The previous prime is 9996426169. The next prime is 9996426211. The reversal of 9996426180 is 816246999.

It can be written as a sum of positive squares in 8 ways, for example, as 683404164 + 9313022016 = 26142^2 + 96504^2 .

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, 204960 + ... + 249000.

Almost surely, 29996426180 is an apocalyptic number.

9996426180 is a gapful number since it is divisible by the number (90) 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 9996426180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16496195352).

9996426180 is an abundant number, since it is smaller than the sum of its proper divisors (22995964524).

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

9996426180 is a wasteful number, since it uses less digits than its factorization.

9996426180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44166 (or 44161 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 9996426180 is about 99982.1293031910. The cubic root of 9996426180 is about 2154.1780073921.

The spelling of 9996426180 in words is "nine billion, nine hundred ninety-six million, four hundred twenty-six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 97 117 130 156 180 194 195 234 260 291 388 390 468 485 582 585 780 873 970 1164 1170 1261 1455 1746 1940 2340 2522 2910 3492 3783 4365 5044 5820 6305 7566 8730 11349 12610 15132 17460 18915 22698 25220 37830 44041 45396 56745 75660 88082 113490 132123 176164 220205 226980 264246 396369 440410 528492 572533 660615 792738 880820 1145066 1321230 1585476 1717599 1981845 2290132 2642460 2862665 3435198 3963690 4271977 5152797 5725330 6870396 7927380 8543954 8587995 10305594 11450660 12815931 17087908 17175990 20611188 21359885 25631862 25763985 34351980 38447793 42719770 51263724 51527970 55535701 64079655 76895586 85439540 103055940 111071402 128159310 153791172 166607103 192238965 222142804 256318620 277678505 333214206 384477930 499821309 555357010 666428412 768955860 833035515 999642618 1110714020 1666071030 1999285236 2499106545 3332142060 4998213090 9996426180