Search a number
-
+
12114773172 = 223217109181609
BaseRepresentation
bin10110100100001100…
…01100010010110100
31011021022002020112200
423102012030102310
5144302340220142
65322045344500
7606133605255
oct132206142264
934238066480
1012114773172
115157523437
122421268130
1311b0b7b648
1482cd76b2c
154ad89264c
hex2d218c4b4

12114773172 has 72 divisors (see below), whose sum is σ = 32722489800. Its totient is φ = 3765823488.

The previous prime is 12114773131. The next prime is 12114773191. The reversal of 12114773172 is 27137741121.

12114773172 is a `hidden beast` number, since 1 + 2 + 11 + 477 + 3 + 172 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4815804816 + 7298968356 = 69396^2 + 85434^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24097 + ... + 157512.

It is an arithmetic number, because the mean of its divisors is an integer number (454479025).

Almost surely, 212114773172 is an apocalyptic number.

12114773172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12114773172 is an abundant number, since it is smaller than the sum of its proper divisors (20607716628).

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

12114773172 is a wasteful number, since it uses less digits than its factorization.

12114773172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181745 (or 181740 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The spelling of 12114773172 in words is "twelve billion, one hundred fourteen million, seven hundred seventy-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 109 153 204 218 306 327 436 612 654 981 1308 1853 1962 3706 3924 5559 7412 11118 16677 22236 33354 66708 181609 363218 544827 726436 1089654 1634481 2179308 3087353 3268962 6174706 6537924 9262059 12349412 18524118 19795381 27786177 37048236 39590762 55572354 59386143 79181524 111144708 118772286 178158429 237544572 336521477 356316858 673042954 712633716 1009564431 1346085908 2019128862 3028693293 4038257724 6057386586 12114773172