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164427519 = 31737791103
BaseRepresentation
bin10011100110011…
…11011011111111
3102110101210011010
421303033123333
5314043140034
624152130303
74034416344
oct1163173377
9373353133
10164427519
11848a6913
1247096993
13280b0ab9
1417ba27cb
15e67e3e9
hex9ccf6ff

164427519 has 32 divisors (see below), whose sum is σ = 241643520. Its totient is φ = 99021312.

The previous prime is 164427509. The next prime is 164427533. The reversal of 164427519 is 915724461.

It is not a de Polignac number, because 164427519 - 213 = 164419327 is a prime.

It is a super-3 number, since 3×1644275193 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164427509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148522 + ... + 149624.

It is an arithmetic number, because the mean of its divisors is an integer number (7551360).

Almost surely, 2164427519 is an apocalyptic number.

164427519 is a deficient number, since it is larger than the sum of its proper divisors (77216001).

164427519 is a wasteful number, since it uses less digits than its factorization.

164427519 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239.

The product of its digits is 60480, while the sum is 39.

The square root of 164427519 is about 12822.9294234976. The cubic root of 164427519 is about 547.8455873663.

The spelling of 164427519 in words is "one hundred sixty-four million, four hundred twenty-seven thousand, five hundred nineteen".

Divisors: 1 3 17 37 51 79 111 237 629 1103 1343 1887 2923 3309 4029 8769 18751 40811 49691 56253 87137 122433 149073 261411 693787 1481329 2081361 3224069 4443987 9672207 54809173 164427519