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768162998064 = 243711207836309
BaseRepresentation
bin10110010110110100001…
…01010010011100110000
32201102202121012110200210
423023122011102130300
5100041144211414224
61344520022544120
7106332536515260
oct13133205223460
92642677173623
10768162998064
11276859a93a50
12104a60298040
135758c13a4a7
1429271d717a0
1514ead2a1429
hexb2da152730

768162998064 has 80 divisors (see below), whose sum is σ = 2474083434240. Its totient is φ = 199522855680.

The previous prime is 768162998051. The next prime is 768162998093. The reversal of 768162998064 is 460899261867.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 768162997986 and 768162998004.

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, 103914459 + ... + 103921850.

It is an arithmetic number, because the mean of its divisors is an integer number (30926042928).

Almost surely, 2768162998064 is an apocalyptic number.

It is an amenable number.

768162998064 is an abundant number, since it is smaller than the sum of its proper divisors (1705920436176).

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

768162998064 is a wasteful number, since it uses less digits than its factorization.

768162998064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207836338 (or 207836332 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 768162998064 in words is "seven hundred sixty-eight billion, one hundred sixty-two million, nine hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 207836309 415672618 623508927 831345236 1247017854 1454854163 1662690472 2286199399 2494035708 2909708326 3325380944 4364562489 4572398798 4988071416 5819416652 6858598197 8729124978 9144797596 9976142832 11638833304 13717196394 16003395793 17458249956 18289595192 23277666608 27434392788 32006791586 34916499912 36579190384 48010187379 54868785576 64013583172 69832999824 96020374758 109737571152 128027166344 192040749516 256054332688 384081499032 768162998064