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2092617168 = 2431131931999
BaseRepresentation
bin111110010111010…
…1100110111010000
312101211121222002120
41330232230313100
513241202222133
6543352014240
7102566644455
oct17456546720
95354558076
102092617168
11984256284
124a4991380
13274704615
1415bcc782c
15c3aa9ab3
hex7cbacdd0

2092617168 has 80 divisors (see below), whose sum is σ = 5484768000. Its totient is φ = 687439872.

The previous prime is 2092617089. The next prime is 2092617173. The reversal of 2092617168 is 8617162902.

It is a super-2 number, since 2×20926171682 = 8758093223616680448, which contains 22 as substring.

It is a congruent number.

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, 1045833 + ... + 1047831.

It is an arithmetic number, because the mean of its divisors is an integer number (68559600).

Almost surely, 22092617168 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 2092617168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742384000).

2092617168 is an abundant number, since it is smaller than the sum of its proper divisors (3392150832).

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

2092617168 is a wasteful number, since it uses less digits than its factorization.

2092617168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 2092617168 is about 45745.1327246954. The cubic root of 2092617168 is about 1279.0767202548.

The spelling of 2092617168 in words is "two billion, ninety-two million, six hundred seventeen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 193 226 339 386 452 579 678 772 904 1158 1356 1544 1808 1999 2316 2712 3088 3998 4632 5424 5997 7996 9264 11994 15992 21809 23988 31984 43618 47976 65427 87236 95952 130854 174472 225887 261708 348944 385807 451774 523416 677661 771614 903548 1046832 1157421 1355322 1543228 1807096 2314842 2710644 3086456 3614192 4629684 5421288 6172912 9259368 10842576 18518736 43596191 87192382 130788573 174384764 261577146 348769528 523154292 697539056 1046308584 2092617168