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768991383744 = 26337976711083
BaseRepresentation
bin10110011000010110111…
…01010101000011000000
32201111220022221211012220
423030023131111003000
5100044343243234434
61345134134051040
7106362215625003
oct13141335250300
92644808854186
10768991383744
11277144652411
121050517a9a80
135769194b62c
142930dda953a
151500ad83d49
hexb30b7550c0

768991383744 has 112 divisors (see below), whose sum is σ = 2090015355648. Its totient is φ = 249354574848.

The previous prime is 768991383731. The next prime is 768991383767. The reversal of 768991383744 is 447383199867.

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 15 ways as a sum of consecutive naturals, for example, 69379227 + ... + 69390309.

Almost surely, 2768991383744 is an apocalyptic number.

768991383744 is a gapful number since it is divisible by the number (74) 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 768991383744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045007677824).

768991383744 is an abundant number, since it is smaller than the sum of its proper divisors (1321023971904).

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

768991383744 is a wasteful number, since it uses less digits than its factorization.

768991383744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20902 (or 20892 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 69.

The spelling of 768991383744 in words is "seven hundred sixty-eight billion, nine hundred ninety-one million, three hundred eighty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 9767 11083 19534 22166 29301 33249 39068 44332 58602 66498 78136 88664 117204 132996 156272 177328 234408 265992 312544 354656 361379 410071 468816 531984 625088 709312 722758 820142 937632 1063968 1084137 1230213 1445516 1640284 1875264 2127936 2168274 2460426 2891032 3280568 4336548 4920852 5782064 6561136 8673096 9841704 11564128 13122272 17346192 19683408 23128256 26244544 34692384 39366816 69384768 78733632 108247661 216495322 324742983 432990644 649485966 865981288 1298971932 1731962576 2597943864 3463925152 4005163457 5195887728 6927850304 8010326914 10391775456 12015490371 16020653828 20783550912 24030980742 32041307656 48061961484 64082615312 96123922968 128165230624 192247845936 256330461248 384495691872 768991383744