Search a number
-
+
668783412531 = 321324316761231
BaseRepresentation
bin10011011101101101001…
…10010000010100110011
32100221020122222110002200
421232312212100110303
541424132023200111
61231122421314243
766214035132303
oct11566646202463
92327218873080
10668783412531
112386a188a483
12a9746265983
134b0b2023600
142452548d603
15125e3768256
hex9bb6990533

668783412531 has 72 divisors (see below), whose sum is σ = 1076799499776. Its totient is φ = 399574244160.

The previous prime is 668783412511. The next prime is 668783412533. The reversal of 668783412531 is 135214387866.

668783412531 is a `hidden beast` number, since 6 + 6 + 8 + 78 + 34 + 1 + 2 + 531 = 666.

668783412531 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 668783412531 - 211 = 668783410483 is a prime.

It is a super-2 number, since 2×6687834125312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (668783412533) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10891686 + ... + 10952916.

It is an arithmetic number, because the mean of its divisors is an integer number (14955548608).

Almost surely, 2668783412531 is an apocalyptic number.

668783412531 is a deficient number, since it is larger than the sum of its proper divisors (408016087245).

668783412531 is a wasteful number, since it uses less digits than its factorization.

668783412531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61473 (or 61457 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 668783412531 in words is "six hundred sixty-eight billion, seven hundred eighty-three million, four hundred twelve thousand, five hundred thirty-one".

Divisors: 1 3 9 13 39 43 117 129 167 169 387 501 507 559 1503 1521 1677 2171 5031 6513 7181 7267 19539 21543 21801 28223 61231 64629 65403 84669 93353 183693 254007 280059 551079 796003 840177 1213589 2388009 2632933 3640767 7164027 7898799 10225577 10348039 10922301 23696397 30676731 31044117 34228129 92030193 93132351 102684387 132932501 308053161 398797503 439699811 444965677 1196392509 1319099433 1334897031 1728122513 3957298299 4004691093 5184367539 5716097543 15553102617 17148292629 51444877887 74309268059 222927804177 668783412531