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468661831326 = 2321323223390491
BaseRepresentation
bin1101101000111100110…
…11000000011010011110
31122210200211220210112200
412310132123000122132
530134304412100301
6555144505312330
745600606560163
oct6643633003236
91583624823480
10468661831326
11170838427547
12769b5a956a6
133526b7758c0
141897d1a006a
15c2ce7c9c86
hex6d1e6c069e

468661831326 has 96 divisors (see below), whose sum is σ = 1146209605632. Its totient is φ = 137315027520.

The previous prime is 468661831243. The next prime is 468661831327. The reversal of 468661831326 is 623138166864.

468661831326 is a `hidden beast` number, since 4 + 6 + 8 + 6 + 618 + 3 + 13 + 2 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468661831327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1004941 + ... + 1395431.

It is an arithmetic number, because the mean of its divisors is an integer number (11939683392).

Almost surely, 2468661831326 is an apocalyptic number.

468661831326 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 468661831326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573104802816).

468661831326 is an abundant number, since it is smaller than the sum of its proper divisors (677547774306).

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

468661831326 is a wasteful number, since it uses less digits than its factorization.

468661831326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390758 (or 390755 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 468661831326 in words is "four hundred sixty-eight billion, six hundred sixty-one million, eight hundred thirty-one thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 223 234 299 414 446 598 669 897 1338 1794 2007 2691 2899 4014 5129 5382 5798 8697 10258 15387 17394 26091 30774 46161 52182 66677 92322 133354 200031 390491 400062 600093 780982 1171473 1200186 2342946 3514419 5076383 7028838 8981293 10152766 15229149 17962586 26943879 30458298 45687447 53887758 80831637 87079493 91374894 116756809 161663274 174158986 233513618 261238479 350270427 522476958 700540854 783715437 1050811281 1132033409 1567430874 2002828339 2101622562 2264066818 3396100227 4005656678 6008485017 6792200454 10188300681 12016970034 18025455051 20376601362 26036768407 36050910102 52073536814 78110305221 156220610442 234330915663 468661831326