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8316319368 = 2337438091423
BaseRepresentation
bin1111011111011000…
…01111011010001000
3210110120121210111110
413233230033122020
5114012434204433
63453115330320
7413041356030
oct75754173210
923416553443
108316319368
113588388915
1217411509a0
13a26c35c46
1458c6c88c0
1533a17e963
hex1efb0f688

8316319368 has 128 divisors (see below), whose sum is σ = 24360652800. Its totient is φ = 2316335616.

The previous prime is 8316319367. The next prime is 8316319373. The reversal of 8316319368 is 8639136138.

It is a happy number.

It is a super-2 number, since 2×83163193682 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8316319367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5843505 + ... + 5844927.

It is an arithmetic number, because the mean of its divisors is an integer number (190317600).

Almost surely, 28316319368 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 8316319368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12180326400).

8316319368 is an abundant number, since it is smaller than the sum of its proper divisors (16044333432).

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

8316319368 is a wasteful number, since it uses less digits than its factorization.

8316319368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2287 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 8316319368 is about 91193.8559772532. The cubic root of 8316319368 is about 2026.0199601283.

The spelling of 8316319368 in words is "eight billion, three hundred sixteen million, three hundred nineteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 809 903 1032 1204 1423 1618 1806 2408 2427 2846 3236 3612 4269 4854 5663 5692 6472 7224 8538 9708 9961 11326 11384 16989 17076 19416 19922 22652 29883 33978 34152 34787 39844 45304 59766 61189 67956 69574 79688 104361 119532 122378 135912 139148 183567 208722 239064 243509 244756 278296 367134 417444 428323 487018 489512 730527 734268 834888 856646 974036 1151207 1284969 1461054 1468536 1713292 1948072 2302414 2569938 2922108 3426584 3453621 4604828 5139876 5844216 6907242 8058449 9209656 10279752 13814484 16116898 24175347 27628968 32233796 48350694 49501901 64467592 96701388 99003802 148505703 193402776 198007604 297011406 346513307 396015208 594022812 693026614 1039539921 1188045624 1386053228 2079079842 2772106456 4158159684 8316319368