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164140695 = 33517371933
BaseRepresentation
bin10011100100010…
…01011010010111
3102102212012201000
421302021122113
5314010000240
624142034343
74032113205
oct1162113227
9372765630
10164140695
1184720374
1246b789b3
1328010394
1417b2a075
15e624430
hex9c89697

164140695 has 64 divisors (see below), whose sum is σ = 317485440. Its totient is φ = 80123904.

The previous prime is 164140679. The next prime is 164140699. The reversal of 164140695 is 596041461.

164140695 is a `hidden beast` number, since 1 + 641 + 4 + 0 + 6 + 9 + 5 = 666.

164140695 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164140695 - 24 = 164140679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164140699) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83949 + ... + 85881.

It is an arithmetic number, because the mean of its divisors is an integer number (4960710).

Almost surely, 2164140695 is an apocalyptic number.

164140695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164140695 is a deficient number, since it is larger than the sum of its proper divisors (153344745).

164140695 is a wasteful number, since it uses less digits than its factorization.

164140695 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 164140695 is about 12811.7405140754. The cubic root of 164140695 is about 547.5268517512.

The spelling of 164140695 in words is "one hundred sixty-four million, one hundred forty thousand, six hundred ninety-five".

Divisors: 1 3 5 9 15 17 27 37 45 51 85 111 135 153 185 255 333 459 555 629 765 999 1665 1887 1933 2295 3145 4995 5661 5799 9435 9665 16983 17397 28305 28995 32861 52191 71521 84915 86985 98583 164305 214563 260955 295749 357605 492915 643689 887247 1072815 1215857 1478745 1931067 3218445 3647571 4436235 6079285 9655335 10942713 18237855 32828139 54713565 164140695