Search a number
-
+
256518201027018 = 23725914788320133
BaseRepresentation
bin111010010100110101001100…
…010000000010100111001010
31020122020220022110222120002210
4322110311030100002213022
5232110243233430331033
62305322500144205550
7105013554103434300
oct7224651420024712
91218226273876083
10256518201027018
1174809838078277
122492ab426098b6
13b019740c46888
14474b79363a270
151e9c961631d63
hexe94d4c4029ca

256518201027018 has 48 divisors (see below), whose sum is σ = 606912658299360. Its totient is φ = 72048695683104.

The previous prime is 256518201026947. The next prime is 256518201027079. The reversal of 256518201027018 is 810720102815652.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7394142721 + ... + 7394177412.

It is an arithmetic number, because the mean of its divisors is an integer number (12644013714570).

Almost surely, 2256518201027018 is an apocalyptic number.

256518201027018 is an abundant number, since it is smaller than the sum of its proper divisors (350394457272342).

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

256518201027018 is a wasteful number, since it uses less digits than its factorization.

256518201027018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14788320211 (or 14788320204 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The spelling of 256518201027018 in words is "two hundred fifty-six trillion, five hundred eighteen billion, two hundred one million, twenty-seven thousand, eighteen".

Divisors: 1 2 3 6 7 14 21 42 49 59 98 118 147 177 294 354 413 826 1239 2478 2891 5782 8673 17346 14788320133 29576640266 44364960399 88729920798 103518240931 207036481862 310554722793 621109445586 724627686517 872510887847 1449255373034 1745021775694 2173883059551 2617532663541 4347766119102 5235065327082 6107576214929 12215152429858 18322728644787 36645457289574 42753033504503 85506067009006 128259100513509 256518201027018