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1379626512 = 243112298191
BaseRepresentation
bin101001000111011…
…0110111000010000
310120011000021210020
41102032312320100
510311141022022
6344522103440
746121426505
oct12216667020
93504007706
101379626512
11648843900
1232604ab80
1318ca97364
14d132b4ac
15811bd35c
hex523b6e10

1379626512 has 120 divisors (see below), whose sum is σ = 4053073920. Its totient is φ = 403603200.

The previous prime is 1379626471. The next prime is 1379626513. The reversal of 1379626512 is 2156269731.

It is a super-2 number, since 2×13796265122 = 3806738625226572288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1379626513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164337 + ... + 172527.

It is an arithmetic number, because the mean of its divisors is an integer number (33775616).

Almost surely, 21379626512 is an apocalyptic number.

1379626512 is a gapful number since it is divisible by the number (12) 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 1379626512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026536960).

1379626512 is an abundant number, since it is smaller than the sum of its proper divisors (2673447408).

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

1379626512 is a wasteful number, since it uses less digits than its factorization.

1379626512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8253 (or 8236 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 1379626512 is about 37143.3239223417. The cubic root of 1379626512 is about 1113.2358333906.

The spelling of 1379626512 in words is "one billion, three hundred seventy-nine million, six hundred twenty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 121 132 174 176 232 242 264 319 348 363 464 484 528 638 696 726 957 968 1276 1392 1452 1914 1936 2552 2904 3509 3828 5104 5808 7018 7656 8191 10527 14036 15312 16382 21054 24573 28072 32764 42108 49146 56144 65528 84216 90101 98292 131056 168432 180202 196584 237539 270303 360404 393168 475078 540606 712617 720808 950156 991111 1081212 1425234 1441616 1900312 1982222 2162424 2612929 2850468 2973333 3800624 3964444 4324848 5225858 5700936 5946666 7838787 7928888 10451716 11401872 11893332 15677574 15857776 20903432 23786664 28742219 31355148 41806864 47573328 57484438 62710296 86226657 114968876 125420592 172453314 229937752 344906628 459875504 689813256 1379626512