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4678284312 = 23321317472861
BaseRepresentation
bin1000101101101100…
…01111010000011000
3110002001000110121100
410112312033100120
534040120044222
62052115511400
7223634521602
oct42666172030
913061013540
104678284312
111a90851279
12aa68b8560
135972c9790
14325478172
151c5aa84ac
hex116d8f418

4678284312 has 96 divisors (see below), whose sum is σ = 13657578480. Its totient is φ = 1438145280.

The previous prime is 4678284311. The next prime is 4678284397. The reversal of 4678284312 is 2134828764.

It is a happy number.

4678284312 is a `hidden beast` number, since 467 + 82 + 84 + 31 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4678284311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1633762 + ... + 1636622.

Almost surely, 24678284312 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 4678284312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6828789240).

4678284312 is an abundant number, since it is smaller than the sum of its proper divisors (8979294168).

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

4678284312 is a wasteful number, since it uses less digits than its factorization.

4678284312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633 (or 4626 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 4678284312 is about 68397.9847071535. The cubic root of 4678284312 is about 1672.4848938557.

The spelling of 4678284312 in words is "four billion, six hundred seventy-eight million, two hundred eighty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1747 2861 3494 5241 5722 6988 8583 10482 11444 13976 15723 17166 20964 22711 22888 25749 31446 34332 37193 41928 45422 51498 62892 68133 68664 74386 90844 102996 111579 125784 136266 148772 181688 204399 205992 223158 272532 297544 334737 408798 446316 545064 669474 817596 892632 1338948 1635192 2677896 4998167 9996334 14994501 19992668 29989002 39985336 44983503 59978004 64976171 89967006 119956008 129952342 179934012 194928513 259904684 359868024 389857026 519809368 584785539 779714052 1169571078 1559428104 2339142156 4678284312