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164412313 = 1331407971
BaseRepresentation
bin10011100110010…
…11101110011001
3102110101000021221
421303023232121
5314042143223
624151532041
74034324122
oct1163135631
9373330257
10164412313
118489644a
124708a021
13280a6bc0
1417b9b049
15e679b5d
hex9ccbb99

164412313 has 8 divisors (see below), whose sum is σ = 182771456. Its totient is φ = 146869200.

The previous prime is 164412289. The next prime is 164412317. The reversal of 164412313 is 313214461.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164412313 - 29 = 164411801 is a prime.

It is a super-3 number, since 3×1644123133 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164412317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203583 + ... + 204388.

It is an arithmetic number, because the mean of its divisors is an integer number (22846432).

Almost surely, 2164412313 is an apocalyptic number.

164412313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164412313 is a deficient number, since it is larger than the sum of its proper divisors (18359143).

164412313 is a wasteful number, since it uses less digits than its factorization.

164412313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408015.

The product of its digits is 1728, while the sum is 25.

The square root of 164412313 is about 12822.3364875517. The cubic root of 164412313 is about 547.8286988778.

Adding to 164412313 its reverse (313214461), we get a palindrome (477626774).

The spelling of 164412313 in words is "one hundred sixty-four million, four hundred twelve thousand, three hundred thirteen".

Divisors: 1 13 31 403 407971 5303623 12647101 164412313