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3963314412 = 22323112012957
BaseRepresentation
bin1110110000111011…
…0110000011101100
3101020012200020021200
43230032312003230
531104102030122
61453135325500
7200133421341
oct35416660354
911205606250
103963314412
111754207862
12927380890
134b2148675
142985247c8
15182e2a5ac
hexec3b60ec

3963314412 has 72 divisors (see below), whose sum is σ = 10353662592. Its totient is φ = 1276992000.

The previous prime is 3963314371. The next prime is 3963314413. The reversal of 3963314412 is 2144133693.

3963314412 is a `hidden beast` number, since 3 + 9 + 633 + 1 + 4 + 4 + 12 = 666.

It is a super-2 number, since 2×39633144122 = 31415722256733811488, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (3963314413) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1338838 + ... + 1341794.

Almost surely, 23963314412 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 3963314412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176831296).

3963314412 is an abundant number, since it is smaller than the sum of its proper divisors (6390348180).

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

3963314412 is a wasteful number, since it uses less digits than its factorization.

3963314412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199 (or 4194 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3963314412 is about 62954.8601142120. The cubic root of 3963314412 is about 1582.5332448861.

It can be divided in two parts, 39633 and 14412, that added together give a palindrome (54045).

The spelling of 3963314412 in words is "three billion, nine hundred sixty-three million, three hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 1201 2402 2957 3603 4804 5914 7206 8871 10809 11828 14412 17742 21618 26613 35484 37231 43236 53226 74462 91667 106452 111693 148924 183334 223386 275001 335079 366668 446772 550002 670158 825003 1100004 1340316 1650006 3300012 3551357 7102714 10654071 14205428 21308142 31962213 42616284 63924426 110092067 127848852 220184134 330276201 440368268 660552402 990828603 1321104804 1981657206 3963314412