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7814089764 = 22371368711
BaseRepresentation
bin1110100011100000…
…11000110000100100
3202011120120220000000
413101300120300210
5112000401333024
63331215021300
7364432444545
oct72160306044
922146526000
107814089764
11334a939328
121620b0a830
13976b80070
14541b124cc
1530b025cc9
hex1d1c18c24

7814089764 has 96 divisors (see below), whose sum is σ = 22086785280. Its totient is φ = 2404300320.

The previous prime is 7814089757. The next prime is 7814089793. The reversal of 7814089764 is 4679804187.

It is a happy number.

It is a super-2 number, since 2×78140897642 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7814089764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79369 + ... + 148079.

It is an arithmetic number, because the mean of its divisors is an integer number (230070680).

Almost surely, 27814089764 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 7814089764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11043392640).

7814089764 is an abundant number, since it is smaller than the sum of its proper divisors (14272695516).

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

7814089764 is a wasteful number, since it uses less digits than its factorization.

7814089764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68749 (or 68729 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 7814089764 is about 88397.3402541049. The cubic root of 7814089764 is about 1984.3858974611.

The spelling of 7814089764 in words is "seven billion, eight hundred fourteen million, eighty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1053 1404 1458 2106 2187 2916 3159 4212 4374 6318 8748 9477 12636 18954 28431 37908 56862 68711 113724 137422 206133 274844 412266 618399 824532 893243 1236798 1786486 1855197 2473596 2679729 3572972 3710394 5359458 5565591 7420788 8039187 10718916 11131182 16078374 16696773 22262364 24117561 32156748 33393546 48235122 50090319 66787092 72352683 96470244 100180638 144705366 150270957 200361276 217058049 289410732 300541914 434116098 601083828 651174147 868232196 1302348294 1953522441 2604696588 3907044882 7814089764