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12132534504 = 23347101109977
BaseRepresentation
bin10110100110010011…
…11100100011101000
31011022112111121111210
423103021330203220
5144321412101004
65323522153120
7606440561466
oct132311744350
934275447453
1012132534504
115166554822
1224271b27a0
1311b4759acc
1483147b836
154b0200089
hex2d327c8e8

12132534504 has 128 divisors (see below), whose sum is σ = 31602700800. Its totient is φ = 3879014400.

The previous prime is 12132534499. The next prime is 12132534521. The reversal of 12132534504 is 40543523121.

12132534504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 12417664 + ... + 12418640.

It is an arithmetic number, because the mean of its divisors is an integer number (246896100).

Almost surely, 212132534504 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 12132534504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15801350400).

12132534504 is an abundant number, since it is smaller than the sum of its proper divisors (19470166296).

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

12132534504 is a wasteful number, since it uses less digits than its factorization.

12132534504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 12132534504 in words is "twelve billion, one hundred thirty-two million, five hundred thirty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 47 94 101 109 141 188 202 218 282 303 327 376 404 436 564 606 654 808 872 977 1128 1212 1308 1954 2424 2616 2931 3908 4747 5123 5862 7816 9494 10246 11009 11724 14241 15369 18988 20492 22018 23448 28482 30738 33027 37976 40984 44036 45919 56964 61476 66054 88072 91838 98677 106493 113928 122952 132108 137757 183676 197354 212986 264216 275514 296031 319479 367352 394708 425972 517423 551028 592062 638958 789416 851944 1034846 1102056 1184124 1277916 1552269 2069692 2368248 2555832 3104538 4139384 4637819 5005171 6209076 9275638 10010342 10755793 12418152 13913457 15015513 18551276 20020684 21511586 27826914 30031026 32267379 37102552 40041368 43023172 55653828 60062052 64534758 86046344 111307656 120124104 129069516 258139032 505522271 1011044542 1516566813 2022089084 3033133626 4044178168 6066267252 12132534504