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164012607 = 3611113181
BaseRepresentation
bin10011100011010…
…10001000111111
3102102121201000000
421301222020333
5313441400412
624135205343
74031040603
oct1161521077
9372551000
10164012607
1184643110
1246b16853
1327c96ca5
1417ad5503
15e5eb4dc
hex9c6a23f

164012607 has 56 divisors (see below), whose sum is σ = 272130768. Its totient is φ = 97977600.

The previous prime is 164012561. The next prime is 164012623. The reversal of 164012607 is 706210461.

164012607 is a `hidden beast` number, since 1 + 6 + 40 + 12 + 607 = 666.

It is not a de Polignac number, because 164012607 - 27 = 164012479 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164012207) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 906057 + ... + 906237.

It is an arithmetic number, because the mean of its divisors is an integer number (4859478).

Almost surely, 2164012607 is an apocalyptic number.

164012607 is a deficient number, since it is larger than the sum of its proper divisors (108118161).

164012607 is a wasteful number, since it uses less digits than its factorization.

164012607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 164012607 is about 12806.7406860606. The cubic root of 164012607 is about 547.3843929299.

The spelling of 164012607 in words is "one hundred sixty-four million, twelve thousand, six hundred seven".

Divisors: 1 3 9 11 27 33 81 99 113 181 243 297 339 543 729 891 1017 1243 1629 1991 2673 3051 3729 4887 5973 8019 9153 11187 14661 17919 20453 27459 33561 43983 53757 61359 82377 100683 131949 161271 184077 224983 302049 483813 552231 674949 906147 1451439 1656693 2024847 4970079 6074541 14910237 18223623 54670869 164012607