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106824447690 = 2353560814923
BaseRepresentation
bin110001101111100111…
…0111011011011001010
3101012201210001012112120
41203133032323123022
53222234024311230
6121024030352110
710501131552312
oct1433716733312
9335653035476
10106824447690
1141338685714
121885335b636
13a0c563b07c
145255560442
152ba3428310
hex18df3bb6ca

106824447690 has 16 divisors (see below), whose sum is σ = 256378674528. Its totient is φ = 28486519376.

The previous prime is 106824447661. The next prime is 106824447703. The reversal of 106824447690 is 96744428601.

It is a happy number.

It is a super-2 number, since 2×1068244476902 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1780407432 + ... + 1780407491.

It is an arithmetic number, because the mean of its divisors is an integer number (16023667158).

Almost surely, 2106824447690 is an apocalyptic number.

106824447690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106824447690 is an abundant number, since it is smaller than the sum of its proper divisors (149554226838).

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

106824447690 is a wasteful number, since it uses less digits than its factorization.

106824447690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560814933.

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 106824447690 in words is "one hundred six billion, eight hundred twenty-four million, four hundred forty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 3560814923 7121629846 10682444769 17804074615 21364889538 35608149230 53412223845 106824447690