Search a number
-
+
12030997848 = 23337791491151
BaseRepresentation
bin10110011010001101…
…00111010101011000
31011001110110000101220
423031012213111120
5144114413412343
65305454012040
7604065536322
oct131506472530
934043400356
1012030997848
115114203831
1223b91a7020
1311996c8a4c
14821baa612
154a6345183
hex2cd1a7558

12030997848 has 128 divisors (see below), whose sum is σ = 31518720000. Its totient is φ = 3823372800.

The previous prime is 12030997837. The next prime is 12030997861. The reversal of 12030997848 is 84879903021.

12030997848 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 2×120309978482 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12030997848.

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, 10452073 + ... + 10453223.

It is an arithmetic number, because the mean of its divisors is an integer number (246240000).

Almost surely, 212030997848 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 12030997848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759360000).

12030997848 is an abundant number, since it is smaller than the sum of its proper divisors (19487722152).

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

12030997848 is a wasteful number, since it uses less digits than its factorization.

12030997848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 12030997848 in words is "twelve billion, thirty million, nine hundred ninety-seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 79 111 148 149 158 222 237 296 298 316 444 447 474 596 632 888 894 948 1151 1192 1788 1896 2302 2923 3453 3576 4604 5513 5846 6906 8769 9208 11026 11692 11771 13812 16539 17538 22052 23384 23542 27624 33078 35076 35313 42587 44104 47084 66156 70152 70626 85174 90929 94168 127761 132312 141252 170348 171499 181858 255522 272787 282504 340696 342998 363716 435527 511044 514497 545574 685996 727432 871054 1022088 1028994 1091148 1306581 1371992 1742108 2057988 2182296 2613162 3364373 3484216 4115976 5226324 6345463 6728746 10093119 10452648 12690926 13457492 13548421 19036389 20186238 25381852 26914984 27096842 38072778 40372476 40645263 50763704 54193684 76145556 80744952 81290526 108387368 152291112 162581052 325162104 501291577 1002583154 1503874731 2005166308 3007749462 4010332616 6015498924 12030997848