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6329994966 = 235313831097
BaseRepresentation
bin1011110010100110…
…00000111011010110
3121100011000001200000
411321103000323112
5100430434314331
62524041432130
7312602032551
oct57123007326
917304001600
106329994966
1127591319a9
121287a9b646
1379b569469
1444098d698
15270abe0e6
hex1794c0ed6

6329994966 has 96 divisors (see below), whose sum is σ = 14733508608. Its totient is φ = 2034745920.

The previous prime is 6329994953. The next prime is 6329995003. The reversal of 6329994966 is 6694999236.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5769730 + ... + 5770826.

It is an arithmetic number, because the mean of its divisors is an integer number (153474048).

Almost surely, 26329994966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6329994966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7366754304).

6329994966 is an abundant number, since it is smaller than the sum of its proper divisors (8403513642).

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

6329994966 is a wasteful number, since it uses less digits than its factorization.

6329994966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1516 counting only the distinct ones).

The product of its digits is 34012224, while the sum is 63.

The square root of 6329994966 is about 79561.2654876731. The cubic root of 6329994966 is about 1849.8412297151.

The spelling of 6329994966 in words is "six billion, three hundred twenty-nine million, nine hundred ninety-four thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 383 486 558 766 837 1097 1149 1674 2194 2298 2511 3291 3447 5022 6582 6894 7533 9873 10341 11873 15066 19746 20682 23746 29619 31023 34007 35619 59238 62046 68014 71238 88857 93069 102021 106857 177714 186138 204042 213714 266571 306063 320571 420151 533142 612126 641142 840302 918189 961713 1260453 1836378 1923426 2520906 2754567 2885139 3781359 5509134 5770278 7562718 8263701 11344077 13024681 16527402 22688154 26049362 34032231 39074043 68064462 78148086 102096693 117222129 204193386 234444258 351666387 703332774 1054999161 2109998322 3164997483 6329994966