Search a number
-
+
518056818396 = 2231341245932939
BaseRepresentation
bin1111000100111101001…
…01111011011011011100
31211112012021022010110020
413202132211323123130
531441440021142041
61033554135312140
752266634204635
oct7423645733334
91745167263406
10518056818396
1118a785628407
12844a021b650
1339b110830c0
141b10740088c
15d720eb1866
hex789e97b6dc

518056818396 has 96 divisors (see below), whose sum is σ = 1334117433600. Its totient is φ = 155446279680.

The previous prime is 518056818353. The next prime is 518056818439. The reversal of 518056818396 is 693818650815.

It is an interprime number because it is at equal distance from previous prime (518056818353) and next prime (518056818439).

It is a super-2 number, since 2×5180568183962 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15711295 + ... + 15744233.

It is an arithmetic number, because the mean of its divisors is an integer number (13897056600).

Almost surely, 2518056818396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518056818396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667058716800).

518056818396 is an abundant number, since it is smaller than the sum of its proper divisors (816060615204).

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

518056818396 is a wasteful number, since it uses less digits than its factorization.

518056818396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35459 (or 35457 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 60.

The spelling of 518056818396 in words is "five hundred eighteen billion, fifty-six million, eight hundred eighteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 1066 1599 2132 2459 3198 4918 6396 7377 9836 14754 29508 31967 32939 63934 65878 95901 98817 100819 127868 131756 191802 197634 201638 302457 383604 395268 403276 428207 604914 856414 1209828 1284621 1310647 1350499 1712828 2569242 2621294 2700998 3931941 4051497 5138484 5242588 5401996 7863882 8102994 15727764 16205988 17556487 35112974 52669461 70225948 80997001 105338922 161994002 210677844 242991003 323988004 485982006 971964012 1052961013 2105922026 3158883039 3320877041 4211844052 6317766078 6641754082 9962631123 12635532156 13283508164 19925262246 39850524492 43171401533 86342803066 129514204599 172685606132 259028409198 518056818396