Search a number
-
+
251426606624152 = 231719264073684679
BaseRepresentation
bin111001001010101111010001…
…100100110010110110011000
31012222020011000111211200000021
4321022233101210302312120
5230423333142243433102
62250423442153520224
7103646654461206541
oct7112572144626630
91188204014750007
10251426606624152
1173126474841203
12242481b1a13074
13aa3a5729370bb
14461318131b4c8
151e102b2add137
hexe4abd1932d98

251426606624152 has 64 divisors (see below), whose sum is σ = 525447158976000. Its totient is φ = 112086843572736.

The previous prime is 251426606624111. The next prime is 251426606624161.

251426606624152 is nontrivially palindromic in base 10.

251426606624152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 251426606624152.

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, 66393349 + ... + 70078027.

It is an arithmetic number, because the mean of its divisors is an integer number (8210111859000).

Almost surely, 2251426606624152 is an apocalyptic number.

It is an amenable number.

251426606624152 is an abundant number, since it is smaller than the sum of its proper divisors (274020552351848).

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

251426606624152 is a wasteful number, since it uses less digits than its factorization.

251426606624152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711128 (or 3711124 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 52.

The spelling of 251426606624152 in words is "two hundred fifty-one trillion, four hundred twenty-six billion, six hundred six million, six hundred twenty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 8 17 19 34 38 68 76 136 152 323 646 1292 2584 26407 52814 105628 211256 448919 501733 897838 1003466 1795676 2006932 3591352 3684679 4013864 7369358 8529461 14738716 17058922 29477432 34117844 62639543 68235688 70008901 125279086 140017802 250558172 280035604 501116344 560071208 1190151317 2380302634 4760605268 9521210536 97301318353 194602636706 389205273412 778410546824 1654122412001 1848725048707 3308244824002 3697450097414 6616489648004 7394900194828 13232979296008 14789800389656 31428325828019 62856651656038 125713303312076 251426606624152