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106974236364921 = 3217699178015457
BaseRepresentation
bin11000010100101011100001…
…010110111101000001111001
3112000202122012110110020110100
4120110223201112331001321
5103010131214002134141
61015303141420110013
731350430205132652
oct3024534126750171
9460678173406410
10106974236364921
11310a3578685122
12bbb83a7395309
13478c81cc78293
141c5b81b4c0529
15c579a32590b6
hex614ae15bd079

106974236364921 has 12 divisors (see below), whose sum is σ = 163607655617172. Its totient is φ = 67121089483776.

The previous prime is 106974236364899. The next prime is 106974236364923. The reversal of 106974236364921 is 129463632479601.

It is a happy number.

106974236364921 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 7 + 423 + 63 + 64 + 92 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49616879405625 + 57357356959296 = 7043925^2 + 7573464^2 .

It is not a de Polignac number, because 106974236364921 - 215 = 106974236332153 is a prime.

It is a super-2 number, since 2×1069742363649212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106974236364923) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 349589007576 + ... + 349589007881.

It is an arithmetic number, because the mean of its divisors is an integer number (13633971301431).

Almost surely, 2106974236364921 is an apocalyptic number.

It is an amenable number.

106974236364921 is a deficient number, since it is larger than the sum of its proper divisors (56633419252251).

106974236364921 is a wasteful number, since it uses less digits than its factorization.

106974236364921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699178015480 (or 699178015477 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 106974236364921 in words is "one hundred six trillion, nine hundred seventy-four billion, two hundred thirty-six million, three hundred sixty-four thousand, nine hundred twenty-one".

Divisors: 1 3 9 17 51 153 699178015457 2097534046371 6292602139113 11886026262769 35658078788307 106974236364921