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2137302656 = 2779972179
BaseRepresentation
bin111111101100100…
…1010011010000000
312111221201020001122
41333121022122000
513334122141111
6552025451412
7103651526036
oct17731123200
95457636048
102137302656
119a74a7135
124b7940b68
13280a4ba38
14163bda556
15c7984cdb
hex7f64a680

2137302656 has 64 divisors (see below), whose sum is σ = 4358256000. Its totient is φ = 1043767296.

The previous prime is 2137302649. The next prime is 2137302683. The reversal of 2137302656 is 6562037312.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 979775 + ... + 981953.

It is an arithmetic number, because the mean of its divisors is an integer number (68097750).

Almost surely, 22137302656 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 2137302656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179128000).

2137302656 is an abundant number, since it is smaller than the sum of its proper divisors (2220953344).

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

2137302656 is an equidigital number, since it uses as much as digits as its factorization.

2137302656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 2137302656 is about 46230.9707447291. The cubic root of 2137302656 is about 1288.1170887472.

Adding to 2137302656 its reverse (6562037312), we get a palindrome (8699339968).

The spelling of 2137302656 in words is "two billion, one hundred thirty-seven million, three hundred two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 79 97 128 158 194 316 388 632 776 1264 1552 2179 2528 3104 4358 5056 6208 7663 8716 10112 12416 15326 17432 30652 34864 61304 69728 122608 139456 172141 211363 245216 278912 344282 422726 490432 688564 845452 980864 1377128 1690904 2754256 3381808 5508512 6763616 11017024 13527232 16697677 22034048 27054464 33395354 66790708 133581416 267162832 534325664 1068651328 2137302656