Search a number
-
+
2428763341125 = 35311730980557
BaseRepresentation
bin100011010101111101100…
…100111000000101000101
322121012001200201100021110
4203111331210320011011
5304243101403404000
65055431455235233
7340321006525332
oct43257544700505
98535050640243
102428763341125
1185703a652090
12332863b18b19
13148053ca9494
14857a4b47989
154329eb72850
hex2357d938145

2428763341125 has 64 divisors (see below), whose sum is σ = 4409525802240. Its totient is φ = 1177406496000.

The previous prime is 2428763341087. The next prime is 2428763341159. The reversal of 2428763341125 is 5211433678242.

It is not a de Polignac number, because 2428763341125 - 211 = 2428763339077 is a prime.

It is a super-3 number, since 3×24287633411253 (a number of 38 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30109347 + ... + 30189903.

It is an arithmetic number, because the mean of its divisors is an integer number (68898840660).

Almost surely, 22428763341125 is an apocalyptic number.

2428763341125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2428763341125 is a deficient number, since it is larger than the sum of its proper divisors (1980762461115).

2428763341125 is a wasteful number, since it uses less digits than its factorization.

2428763341125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87895 (or 87885 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The spelling of 2428763341125 in words is "two trillion, four hundred twenty-eight billion, seven hundred sixty-three million, three hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 125 165 275 375 825 1375 4125 7309 21927 36545 80399 80557 109635 182725 241197 241671 401995 402785 548175 886127 913625 1205985 1208355 2009975 2013925 2658381 2740875 4430635 6029925 6041775 10049875 10069625 13291905 22153175 30149625 30208875 66459525 110765875 332297625 588791113 1766373339 2943955565 6476702243 8831866695 14719777825 19430106729 32383511215 44159333475 73598889125 97150533645 161917556075 220796667375 485752668225 809587780375 2428763341125