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6316428312 = 23323112722283
BaseRepresentation
bin1011110000111110…
…10000110000011000
3121022012110210201100
411320133100300120
5100414001201222
62522434551400
7312345516615
oct57037206030
917265423640
106316428312
112751506097
121283438560
137987c935c
1443cc5b50c
1526e7de4ac
hex1787d0c18

6316428312 has 96 divisors (see below), whose sum is σ = 17798676480. Its totient is φ = 2021423040.

The previous prime is 6316428257. The next prime is 6316428361. The reversal of 6316428312 is 2138246136.

6316428312 is a `hidden beast` number, since 6 + 3 + 1 + 642 + 8 + 3 + 1 + 2 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272323 + ... + 294605.

It is an arithmetic number, because the mean of its divisors is an integer number (185402880).

Almost surely, 26316428312 is an apocalyptic number.

6316428312 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6316428312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8899338240).

6316428312 is an abundant number, since it is smaller than the sum of its proper divisors (11482248168).

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

6316428312 is a wasteful number, since it uses less digits than its factorization.

6316428312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22453 (or 22446 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 6316428312 is about 79475.9605918670. The cubic root of 6316428312 is about 1848.5187375487.

The spelling of 6316428312 in words is "six billion, three hundred sixteen million, four hundred twenty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 127 186 248 254 279 372 381 508 558 744 762 1016 1116 1143 1524 2232 2286 3048 3937 4572 7874 9144 11811 15748 22283 23622 31496 35433 44566 47244 66849 70866 89132 94488 133698 141732 178264 200547 267396 283464 401094 534792 690773 802188 1381546 1604376 2072319 2763092 2829941 4144638 5526184 5659882 6216957 8289276 8489823 11319764 12433914 16578552 16979646 22639528 24867828 25469469 33959292 49735656 50938938 67918584 87728171 101877876 175456342 203755752 263184513 350912684 526369026 701825368 789553539 1052738052 1579107078 2105476104 3158214156 6316428312