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106793333344 = 2529115079023
BaseRepresentation
bin110001101110101100…
…0001111001001100000
3101012122121111102200101
41203131120033021200
53222203043131334
6121020555432144
710500303233035
oct1433530171140
9335577442611
10106793333344
1141322063a85
1218844a55654
13a0bc065b09
14525138138c
152ba082e214
hex18dd60f260

106793333344 has 24 divisors (see below), whose sum is σ = 217499355360. Its totient is φ = 51555401856.

The previous prime is 106793333341. The next prime is 106793333371. The reversal of 106793333344 is 443333397601.

It is a super-2 number, since 2×1067933333442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106793333294 and 106793333303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106793333341) 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 3 ways as a sum of consecutive naturals, for example, 57538584 + ... + 57540439.

It is an arithmetic number, because the mean of its divisors is an integer number (9062473140).

Almost surely, 2106793333344 is an apocalyptic number.

It is an amenable number.

106793333344 is an abundant number, since it is smaller than the sum of its proper divisors (110706022016).

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

106793333344 is a wasteful number, since it uses less digits than its factorization.

106793333344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115079062 (or 115079054 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 46.

The spelling of 106793333344 in words is "one hundred six billion, seven hundred ninety-three million, three hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 115079023 230158046 460316092 920632184 1841264368 3337291667 3682528736 6674583334 13349166668 26698333336 53396666672 106793333344