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6320738112 = 2631311292243
BaseRepresentation
bin1011110001011111…
…01100111101000000
3121022111120202122120
411320233230331000
5100421102104422
62523111204240
7312430246623
oct57057547500
917274522576
106320738112
11275398a107
121284976680
13799677c30
1443d65ddba
1526ed9145c
hex178becf40

6320738112 has 112 divisors (see below), whose sum is σ = 18034040640. Its totient is φ = 1942253568.

The previous prime is 6320738101. The next prime is 6320738119. The reversal of 6320738112 is 2118370236.

It is a hoax number, since the sum of its digits (33) 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 (6320738119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2816863 + ... + 2819105.

It is an arithmetic number, because the mean of its divisors is an integer number (161018220).

Almost surely, 26320738112 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 6320738112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9017020320).

6320738112 is an abundant number, since it is smaller than the sum of its proper divisors (11713302528).

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

6320738112 is a wasteful number, since it uses less digits than its factorization.

6320738112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 6320738112 is about 79503.0698275230. The cubic root of 6320738112 is about 1848.9390665914.

The spelling of 6320738112 in words is "six billion, three hundred twenty million, seven hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1129 1248 2243 2258 2496 3387 4486 4516 6729 6774 8972 9032 13458 13548 14677 17944 18064 26916 27096 29159 29354 35888 36128 44031 53832 54192 58318 58708 71776 72256 87477 88062 107664 108384 116636 117416 143552 174954 176124 215328 216768 233272 234832 349908 352248 430656 466544 469664 699816 704496 933088 939328 1399632 1408992 1866176 2532347 2799264 2817984 5064694 5598528 7597041 10129388 15194082 20258776 30388164 32920511 40517552 60776328 65841022 81035104 98761533 121552656 131682044 162070208 197523066 243105312 263364088 395046132 486210624 526728176 790092264 1053456352 1580184528 2106912704 3160369056 6320738112