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4314696768 = 263322311197
BaseRepresentation
bin1000000010010110…
…10000110001000000
3102010200212022021000
410001023100301000
532314030244033
61552050532000
7211631213604
oct40113206100
912120768230
104314696768
1119145965a8
12a04b97000
13539b96b15
142cd071504
151a3bd8a13
hex1012d0c40

4314696768 has 112 divisors (see below), whose sum is σ = 12742428160. Its totient is φ = 1431654912.

The previous prime is 4314696751. The next prime is 4314696779. The reversal of 4314696768 is 8676964134.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379746 + ... + 390942.

It is an arithmetic number, because the mean of its divisors is an integer number (113771680).

Almost surely, 24314696768 is an apocalyptic number.

4314696768 is a gapful number since it is divisible by the number (48) 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 4314696768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6371214080).

4314696768 is an abundant number, since it is smaller than the sum of its proper divisors (8427731392).

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

4314696768 is a wasteful number, since it uses less digits than its factorization.

4314696768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11441 (or 11425 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 4314696768 is about 65686.3514590360. The cubic root of 4314696768 is about 1627.9838532488.

The spelling of 4314696768 in words is "four billion, three hundred fourteen million, six hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 223 288 432 446 576 669 864 892 1338 1728 1784 2007 2676 3568 4014 5352 6021 7136 8028 10704 11197 12042 14272 16056 21408 22394 24084 32112 33591 42816 44788 48168 64224 67182 89576 96336 100773 128448 134364 179152 192672 201546 268728 302319 358304 385344 403092 537456 604638 716608 806184 1074912 1209276 1612368 2149824 2418552 2496931 3224736 4837104 4993862 6449472 7490793 9674208 9987724 14981586 19348416 19975448 22472379 29963172 39950896 44944758 59926344 67417137 79901792 89889516 119852688 134834274 159803584 179779032 239705376 269668548 359558064 479410752 539337096 719116128 1078674192 1438232256 2157348384 4314696768