Search a number
-
+
215048727840512 = 286166841206027
BaseRepresentation
bin110000111001010111101111…
…000010000100011100000000
31001012102110100121000012200202
4300321113233002010130000
5211141324243311344022
62041212004405504332
763203520643362236
oct6071275702043400
91035373317005622
10215048727840512
11625807206146a5
1220151a73a120a8
1392cc014810487
143b165b1cb4956
1519cdd9e557592
hexc395ef084700

215048727840512 has 72 divisors (see below), whose sum is σ = 436303073534832. Its totient is φ = 105759573811200.

The previous prime is 215048727840503. The next prime is 215048727840523.

215048727840512 is nontrivially palindromic in base 10.

It is a congruent number.

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, 1043686043 + ... + 1043892069.

It is an arithmetic number, because the mean of its divisors is an integer number (6059764910206).

Almost surely, 2215048727840512 is an apocalyptic number.

It is an amenable number.

215048727840512 is an abundant number, since it is smaller than the sum of its proper divisors (221254345694320).

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

215048727840512 is an equidigital number, since it uses as much as digits as its factorization.

215048727840512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272945 (or 272931 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 56.

The spelling of 215048727840512 in words is "two hundred fifteen trillion, forty-eight billion, seven hundred twenty-seven million, eight hundred forty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1952 3904 7808 15616 66841 133682 206027 267364 412054 534728 824108 1069456 1648216 2138912 3296432 4077301 4277824 6592864 8154602 8555648 12567647 13185728 16309204 17111296 25135294 26371456 32618408 50270588 52742912 65236816 100541176 130473632 201082352 260947264 402164704 521894528 804329408 1043789056 1608658816 3217317632 13771050707 27542101414 55084202828 110168405656 220336811312 440673622624 840034093127 881347245248 1680068186254 1762694490496 3360136372508 3525388980992 6720272745016 13440545490032 26881090980064 53762181960128 107524363920256 215048727840512