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164004659 = 7135033583
BaseRepresentation
bin10011100011010…
…00001100110011
3102102121022002122
421301220030303
5313441122114
624135104455
74031005460
oct1161501463
9372538078
10164004659
1184638145
1246b1212b
1327c934a0
1417ad2667
15e5e8e8e
hex9c68333

164004659 has 16 divisors (see below), whose sum is σ = 202309632. Its totient is φ = 129467808.

The previous prime is 164004653. The next prime is 164004707. The reversal of 164004659 is 956400461.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164004659 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164004653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43982 + ... + 47564.

It is an arithmetic number, because the mean of its divisors is an integer number (12644352).

Almost surely, 2164004659 is an apocalyptic number.

164004659 is a deficient number, since it is larger than the sum of its proper divisors (38304973).

164004659 is a wasteful number, since it uses less digits than its factorization.

164004659 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106.

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 164004659 is about 12806.4303769630. The cubic root of 164004659 is about 547.3755507611.

The spelling of 164004659 in words is "one hundred sixty-four million, four thousand, six hundred fifty-nine".

Divisors: 1 7 13 91 503 3521 3583 6539 25081 45773 46579 326053 1802249 12615743 23429237 164004659