Search a number
-
+
164432463 = 31331277491
BaseRepresentation
bin10011100110100…
…00101001001111
3102110102000221020
421303100221033
5314043314323
624152205223
74034436636
oct1163205117
9373360836
10164432463
11848aa5a8
1247099813
13280b3120
1417ba451d
15e680ae3
hex9cd0a4f

164432463 has 32 divisors (see below), whose sum is σ = 245102592. Its totient is φ = 97372800.

The previous prime is 164432459. The next prime is 164432467. The reversal of 164432463 is 364234461.

164432463 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164432459) and next prime (164432467).

It is not a de Polignac number, because 164432463 - 22 = 164432459 is a prime.

It is a super-3 number, since 3×1644324633 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164432467) 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, 334648 + ... + 335138.

It is an arithmetic number, because the mean of its divisors is an integer number (7659456).

Almost surely, 2164432463 is an apocalyptic number.

164432463 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

164432463 is a deficient number, since it is larger than the sum of its proper divisors (80670129).

164432463 is a wasteful number, since it uses less digits than its factorization.

164432463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815.

The product of its digits is 41472, while the sum is 33.

The square root of 164432463 is about 12823.1222017105. The cubic root of 164432463 is about 547.8510781776.

The spelling of 164432463 in words is "one hundred sixty-four million, four hundred thirty-two thousand, four hundred sixty-three".

Divisors: 1 3 13 31 39 93 277 403 491 831 1209 1473 3601 6383 8587 10803 15221 19149 25761 45663 111631 136007 197873 334893 408021 593619 1768091 4216217 5304273 12648651 54810821 164432463