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191385144 = 23325945053
BaseRepresentation
bin10110110100001…
…00111000111000
3111100010101001200
423122010320320
5342443311034
630554014200
74512514116
oct1332047070
9440111050
10191385144
1199039545
1254117360
133085c062
141b5bcab6
1511c06a99
hexb684e38

191385144 has 48 divisors (see below), whose sum is σ = 527131800. Its totient is φ = 62712384.

The previous prime is 191385113. The next prime is 191385149. The reversal of 191385144 is 441583191.

191385144 is a `hidden beast` number, since 1 + 9 + 138 + 514 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 191385099 and 191385108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191385149) 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 11 ways as a sum of consecutive naturals, for example, 18279 + ... + 26774.

Almost surely, 2191385144 is an apocalyptic number.

It is an amenable number.

191385144 is an abundant number, since it is smaller than the sum of its proper divisors (335746656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

191385144 is a wasteful number, since it uses less digits than its factorization.

191385144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45124 (or 45117 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 191385144 is about 13834.2019646960. The cubic root of 191385144 is about 576.2833530634.

The spelling of 191385144 in words is "one hundred ninety-one million, three hundred eighty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 4248 45053 90106 135159 180212 270318 360424 405477 540636 810954 1081272 1621908 2658127 3243816 5316254 7974381 10632508 15948762 21265016 23923143 31897524 47846286 63795048 95692572 191385144