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106642585293 = 3191870922549
BaseRepresentation
bin110001101010001100…
…1001011011011001101
3101012021002211122020020
41203110121023123031
53221401000212133
6120554012412353
710463463006246
oct1432431133315
9335232748206
10106642585293
1141254a60812
12188024770b9
13a096a6459a
14523933dccd
152b924a30b3
hex18d464b6cd

106642585293 has 8 divisors (see below), whose sum is σ = 149673804000. Its totient is φ = 67353211728.

The previous prime is 106642585279. The next prime is 106642585321. The reversal of 106642585293 is 392585246601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106642585293 - 24 = 106642585277 is a prime.

It is a super-2 number, since 2×1066425852932 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106642585193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 935461218 + ... + 935461331.

It is an arithmetic number, because the mean of its divisors is an integer number (18709225500).

Almost surely, 2106642585293 is an apocalyptic number.

It is an amenable number.

106642585293 is a deficient number, since it is larger than the sum of its proper divisors (43031218707).

106642585293 is a wasteful number, since it uses less digits than its factorization.

106642585293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870922571.

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 106642585293 in words is "one hundred six billion, six hundred forty-two million, five hundred eighty-five thousand, two hundred ninety-three".

Divisors: 1 3 19 57 1870922549 5612767647 35547528431 106642585293