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12361626433 = 1331107286673
BaseRepresentation
bin10111000001100111…
…10111001101000001
31011220111120200120001
423200303313031001
5200304034021213
65402344320001
7615222043132
oct134063671501
934814520501
1012361626433
1152738a79a2
12248ba73001
13122005b970
14853a73c89
154c53a41dd
hex2e0cf7341

12361626433 has 16 divisors (see below), whose sum is σ = 13870434816. Its totient is φ = 10939403520.

The previous prime is 12361626419. The next prime is 12361626493. The reversal of 12361626433 is 33462616321.

12361626433 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12361626433 - 25 = 12361626401 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12361626392 and 12361626401.

It is not an unprimeable number, because it can be changed into a prime (12361626493) by changing a digit.

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, 100216 + ... + 186457.

It is an arithmetic number, because the mean of its divisors is an integer number (866902176).

Almost surely, 212361626433 is an apocalyptic number.

12361626433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12361626433 is a deficient number, since it is larger than the sum of its proper divisors (1508808383).

12361626433 is a wasteful number, since it uses less digits than its factorization.

12361626433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286824.

The product of its digits is 93312, while the sum is 37.

The spelling of 12361626433 in words is "twelve billion, three hundred sixty-one million, six hundred twenty-six thousand, four hundred thirty-three".

Divisors: 1 13 31 107 403 1391 3317 43121 286673 3726749 8886863 30674011 115529219 398762143 950894341 12361626433