Search a number
-
+
2092183207296 = 27371359872459
BaseRepresentation
bin11110011100011111110…
…101100011110110000000
321102000021211210222110220
4132130133311203312000
5233234242400113141
64241045151023040
7304104151560330
oct36343765436600
97360254728426
102092183207296
11737320971926
1229958bb0aa80
131223a4788690
14733956d70c0
1539650d5a766
hex1e71fd63d80

2092183207296 has 128 divisors (see below), whose sum is σ = 6839829830400. Its totient is φ = 551784572928.

The previous prime is 2092183207277. The next prime is 2092183207313. The reversal of 2092183207296 is 6927023812902.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29901286 + ... + 29971173.

It is an arithmetic number, because the mean of its divisors is an integer number (53436170550).

Almost surely, 22092183207296 is an apocalyptic number.

2092183207296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2092183207296 is an abundant number, since it is smaller than the sum of its proper divisors (4747646623104).

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

2092183207296 is a wasteful number, since it uses less digits than its factorization.

2092183207296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59872496 (or 59872484 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 2092183207296 in words is "two trillion, ninety-two billion, one hundred eighty-three million, two hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 11648 17472 34944 59872459 119744918 179617377 239489836 359234754 419107213 478979672 718469508 778341967 838214426 957959344 1257321639 1436939016 1556683934 1676428852 1915918688 2335025901 2514643278 2873878032 3113367868 3352857704 3831837376 4670051802 5029286556 5448393769 5747756064 6226735736 6705715408 7663674752 9340103604 10058573112 10896787538 11495512128 12453471472 13411430816 16345181307 18680207208 20117146224 21793575076 22991024256 24906942944 26822861632 32690362614 37360414416 40234292448 43587150152 49813885888 53645723264 65380725228 74720828832 80468584896 87174300304 99627771776 130761450456 149441657664 160937169792 174348600608 261522900912 298883315328 348697201216 523045801824 697394402432 1046091603648 2092183207296