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164000601 = 3218222289
BaseRepresentation
bin10011100011001…
…11001101011001
3102102121002112100
421301213031121
5313441004401
624135034013
74030660602
oct1161471531
9372532470
10164000601
1184635096
1246b0b909
1327c9169b
1417ad0da9
15e5e7b86
hex9c67359

164000601 has 6 divisors (see below), whose sum is σ = 236889770. Its totient is φ = 109333728.

The previous prime is 164000591. The next prime is 164000611. The reversal of 164000601 is 106000461.

164000601 is a `hidden beast` number, since 1 + 64 + 0 + 0 + 0 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (164000591) and next prime (164000611).

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 62394201 = 10080^2 + 7899^2 .

It is not a de Polignac number, because 164000601 - 26 = 164000537 is a prime.

It is a super-3 number, since 3×1640006013 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164000611) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9111136 + ... + 9111153.

Almost surely, 2164000601 is an apocalyptic number.

It is an amenable number.

164000601 is a deficient number, since it is larger than the sum of its proper divisors (72889169).

164000601 is a wasteful number, since it uses less digits than its factorization.

164000601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18222295 (or 18222292 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 164000601 is about 12806.2719399519. The cubic root of 164000601 is about 547.3710361164.

The spelling of 164000601 in words is "one hundred sixty-four million, six hundred one", and thus it is an aban number.

Divisors: 1 3 9 18222289 54666867 164000601