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164064417 = 3116317879
BaseRepresentation
bin10011100011101…
…10110010100001
3102102201100001220
421301312302201
5314000030132
624140245253
74031344626
oct1161666241
9372640056
10164064417
1184679030
1246b40829
1327cb474a
1417b0a34d
15e60ba2c
hex9c76ca1

164064417 has 16 divisors (see below), whose sum is σ = 239047680. Its totient is φ = 99262800.

The previous prime is 164064413. The next prime is 164064437. The reversal of 164064417 is 714460461.

164064417 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 164064417 - 22 = 164064413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (164064413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16884 + ... + 24762.

It is an arithmetic number, because the mean of its divisors is an integer number (14940480).

Almost surely, 2164064417 is an apocalyptic number.

It is an amenable number.

164064417 is a deficient number, since it is larger than the sum of its proper divisors (74983263).

164064417 is a wasteful number, since it uses less digits than its factorization.

164064417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8524.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 164064417 is about 12808.7632892485. The cubic root of 164064417 is about 547.4420246779.

The spelling of 164064417 in words is "one hundred sixty-four million, sixty-four thousand, four hundred seventeen".

Divisors: 1 3 11 33 631 1893 6941 7879 20823 23637 86669 260007 4971649 14914947 54688139 164064417