Search a number
-
+
12174927128 = 23713171039551
BaseRepresentation
bin10110101011010111…
…01010010100011000
31011102111021101020222
423111223222110120
5144413240132003
65332034535212
7610464113240
oct132553522430
934374241228
1012174927128
115188479a51
122439437508
1311c04806c0
14836d54b20
154b3cc5c38
hex2d5aea518

12174927128 has 128 divisors (see below), whose sum is σ = 30040657920. Its totient is φ = 4488652800.

The previous prime is 12174927119. The next prime is 12174927131. The reversal of 12174927128 is 82172947121.

12174927128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121749271282 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1269953 + ... + 1279503.

It is an arithmetic number, because the mean of its divisors is an integer number (234692640).

Almost surely, 212174927128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12174927128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15020328960).

12174927128 is an abundant number, since it is smaller than the sum of its proper divisors (17865730792).

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

12174927128 is a wasteful number, since it uses less digits than its factorization.

12174927128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9697 (or 9693 counting only the distinct ones).

The product of its digits is 112896, while the sum is 44.

It can be divided in two parts, 121749 and 27128, that added together give a cube (148877 = 533).

The spelling of 12174927128 in words is "twelve billion, one hundred seventy-four million, nine hundred twenty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 103 104 119 136 182 206 221 238 364 412 442 476 721 728 824 884 952 1339 1442 1547 1751 1768 2678 2884 3094 3502 5356 5768 6188 7004 9373 9551 10712 12257 12376 14008 18746 19102 22763 24514 37492 38204 45526 49028 66857 74984 76408 91052 98056 124163 133714 159341 162367 182104 248326 267428 318682 324734 496652 534856 637364 649468 869141 983753 993304 1136569 1274728 1298936 1738282 1967506 2110771 2273138 3476564 3935012 4221542 4546276 6886271 6953128 7870024 8443084 9092552 12788789 13772542 14775397 16723801 16886168 25577578 27545084 29550794 33447602 51155156 55090168 59101588 66895204 89521523 102310312 117066607 118203176 133790408 179043046 217409413 234133214 358086092 434818826 468266428 716172184 869637652 936532856 1521865891 1739275304 3043731782 6087463564 12174927128