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13244826312 = 23321091687669
BaseRepresentation
bin11000101010111010…
…00000001011001000
31021012001110220000200
430111131000023020
5204111133420222
610030134332200
7646135110654
oct142535001310
937161426020
1013244826312
1156873a5053
1226977ba060
131331022543
148d9099a64
15527bb2eac
hex3157402c8

13244826312 has 48 divisors (see below), whose sum is σ = 36200521500. Its totient is φ = 4374435456.

The previous prime is 13244826281. The next prime is 13244826313. The reversal of 13244826312 is 21362844231.

13244826312 is a `hidden beast` number, since 13 + 2 + 4 + 4 + 8 + 2 + 631 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13214422116 + 30404196 = 114954^2 + 5514^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13244826313) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 835987 + ... + 851682.

Almost surely, 213244826312 is an apocalyptic number.

13244826312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13244826312 is an abundant number, since it is smaller than the sum of its proper divisors (22955695188).

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

13244826312 is a wasteful number, since it uses less digits than its factorization.

13244826312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687790 (or 1687783 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 13244826312 in words is "thirteen billion, two hundred forty-four million, eight hundred twenty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1962 2616 3924 7848 1687669 3375338 5063007 6750676 10126014 13501352 15189021 20252028 30378042 40504056 60756084 121512168 183955921 367911842 551867763 735823684 1103735526 1471647368 1655603289 2207471052 3311206578 4414942104 6622413156 13244826312