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766734007740 = 2235196011119091
BaseRepresentation
bin10110010100001001110…
…10000111110110111100
32201022002000022020111020
423022010322013312330
5100030232401221430
61344122134424140
7106252245350601
oct13120472076674
92638060266436
10766734007740
112761963a4408
12104721802050
13573c207b49c
14291782746a8
1514e27ad1b10
hexb284e87dbc

766734007740 has 96 divisors (see below), whose sum is σ = 2263609770240. Its totient is φ = 193378752000.

The previous prime is 766734007733. The next prime is 766734007799. The reversal of 766734007740 is 47700437667.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125595 + ... + 1244685.

It is an arithmetic number, because the mean of its divisors is an integer number (23579268440).

Almost surely, 2766734007740 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 766734007740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131804885120).

766734007740 is an abundant number, since it is smaller than the sum of its proper divisors (1496875762500).

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

766734007740 is a wasteful number, since it uses less digits than its factorization.

766734007740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119723 (or 1119721 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 51.

The spelling of 766734007740 in words is "seven hundred sixty-six billion, seven hundred thirty-four million, seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 601 1140 1202 1803 2404 3005 3606 6010 7212 9015 11419 12020 18030 22838 34257 36060 45676 57095 68514 114190 137028 171285 228380 342570 685140 1119091 2238182 3357273 4476364 5595455 6714546 11190910 13429092 16786365 21262729 22381820 33572730 42525458 63788187 67145460 85050916 106313645 127576374 212627290 255152748 318940935 425254580 637881870 672573691 1275763740 1345147382 2017721073 2690294764 3362868455 4035442146 6725736910 8070884292 10088605365 12778900129 13451473820 20177210730 25557800258 38336700387 40354421460 51115600516 63894500645 76673400774 127789001290 153346801548 191683501935 255578002580 383367003870 766734007740