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931336943364 = 223241239232
BaseRepresentation
bin11011000110110000000…
…00011111011100000100
310022000221110202202010100
431203120000133130010
5110224334224141424
61551503354524100
7124200253254312
oct15433000373404
93260843682110
10931336943364
11329a834741a3
121305baa36630
1369a94b22649
143311120b0b2
151935d6e1dc9
hexd8d801f704

931336943364 has 81 divisors (see below), whose sum is σ = 2413648393429. Its totient is φ = 302796598080.

The previous prime is 931336943357. The next prime is 931336943387. The reversal of 931336943364 is 463349633139.

The square root of 931336943364 is 965058.

It is a perfect power (a square), and thus also a powerful number.

931336943364 is a `hidden beast` number, since 93 + 1 + 3 + 3 + 69 + 433 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44877032964 + 886459910400 = 211842^2 + 941520^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 931336943364.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 237402307 + ... + 237406229.

Almost surely, 2931336943364 is an apocalyptic number.

931336943364 is the 965058-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 931336943364

931336943364 is an abundant number, since it is smaller than the sum of its proper divisors (1482311450065).

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

931336943364 is an equidigital number, since it uses as much as digits as its factorization.

931336943364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7938 (or 3969 counting only the distinct ones).

The product of its digits is 11337408, while the sum is 54.

The spelling of 931336943364 in words is "nine hundred thirty-one billion, three hundred thirty-six million, nine hundred forty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1681 3362 3923 5043 6724 7846 10086 11769 15129 15692 20172 23538 30258 35307 47076 60516 70614 141228 160843 321686 482529 643372 965058 1447587 1930116 2895174 5790348 6594563 13189126 15389929 19783689 26378252 30779858 39567378 46169787 59351067 61559716 79134756 92339574 118702134 138509361 184679148 237404268 277018722 554037444 630987089 1261974178 1892961267 2523948356 3785922534 5678883801 7571845068 11357767602 22715535204 25870470649 51740941298 77611411947 103481882596 155222823894 232834235841 310445647788 465668471682 931336943364