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12040952704 = 2711671091171
BaseRepresentation
bin10110011011011001…
…00101101110000000
31011002011011202220021
423031230211232000
5144124440441304
65310451223224
7604246260244
oct131554455600
934064152807
1012040952704
115119892a90
1224005a7b14
13119b7a2bb1
1482323c424
154a715ea54
hex2cdb25b80

12040952704 has 128 divisors (see below), whose sum is σ = 26825673600. Its totient is φ = 5337446400.

The previous prime is 12040952689. The next prime is 12040952713. The reversal of 12040952704 is 40725904021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 12040952704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10282039 + ... + 10283209.

It is an arithmetic number, because the mean of its divisors is an integer number (209575575).

Almost surely, 212040952704 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 12040952704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13412836800).

12040952704 is an abundant number, since it is smaller than the sum of its proper divisors (14784720896).

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

12040952704 is a wasteful number, since it uses less digits than its factorization.

12040952704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 12040952704 in words is "twelve billion, forty million, nine hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 109 128 134 176 218 268 352 436 536 704 737 872 1072 1171 1199 1408 1474 1744 2144 2342 2398 2948 3488 4288 4684 4796 5896 6976 7303 8576 9368 9592 11792 12881 13952 14606 18736 19184 23584 25762 29212 37472 38368 47168 51524 58424 74944 76736 78457 80333 94336 103048 116848 127639 149888 153472 156914 160666 206096 233696 255278 313828 321332 412192 467392 510556 627656 642664 824384 863027 934784 1021112 1255312 1285328 1404029 1648768 1726054 2042224 2510624 2570656 2808058 3452108 4084448 5021248 5141312 5616116 6904216 8168896 8551813 10042496 10282624 11232232 13808432 16337792 17103626 22464464 27616864 34207252 44928928 55233728 68414504 89857856 94069943 110467456 136829008 179715712 188139886 273658016 376279772 547316032 752559544 1094632064 1505119088 3010238176 6020476352 12040952704