Search a number
-
+
2256342415665 = 3513293143129863
BaseRepresentation
bin100000110101011000011…
…111001111100100110001
321222201000101022210202020
4200311120133033210301
5243431442124300130
64444314400342053
7322005161041422
oct40653037174461
97881011283666
102256342415665
1179aa0051a878
12305364614929
13134a0661b030
147b2c9765649
153da5ca1ae10
hex20d587cf931

2256342415665 has 128 divisors (see below), whose sum is σ = 4161426554880. Its totient is φ = 1035470822400.

The previous prime is 2256342415553. The next prime is 2256342415673. The reversal of 2256342415665 is 5665142436522.

2256342415665 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2256342415665 - 211 = 2256342413617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75541524 + ... + 75571386.

It is an arithmetic number, because the mean of its divisors is an integer number (32511144960).

Almost surely, 22256342415665 is an apocalyptic number.

It is an amenable number.

2256342415665 is a deficient number, since it is larger than the sum of its proper divisors (1905084139215).

2256342415665 is a wasteful number, since it uses less digits than its factorization.

2256342415665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30375.

The product of its digits is 10368000, while the sum is 51.

The spelling of 2256342415665 in words is "two trillion, two hundred fifty-six billion, three hundred forty-two million, four hundred fifteen thousand, six hundred sixty-five".

Divisors: 1 3 5 13 15 29 31 39 65 87 93 145 155 195 377 403 431 435 465 899 1131 1209 1293 1885 2015 2155 2697 4495 5603 5655 6045 6465 11687 12499 13361 13485 16809 28015 29863 35061 37497 40083 58435 62495 66805 84045 89589 149315 162487 173693 175305 187485 200415 387469 388219 447945 487461 521079 812435 866027 868465 925753 1162407 1164657 1937345 1941095 2437305 2598081 2605395 2777259 4330135 4628765 5037097 5812035 5823285 11258351 12034789 12870953 12990405 13886295 15111291 25185485 26846837 33775053 36104367 38612859 56291755 60173945 64354765 75556455 80540511 134234185 167322389 168875265 180521835 193064295 349008881 373257637 398999543 402702555 501967167 836611945 1047026643 1119772911 1196998629 1745044405 1866288185 1994997715 2509835835 4852349281 5186994059 5235133215 5598864555 5984993145 11570986747 14557047843 15560982177 24261746405 25934970295 34712960241 57854933735 72785239215 77804910885 150422827711 173564801205 451268483133 752114138555 2256342415665