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12034034346384 = 24362083495307
BaseRepresentation
bin1010111100011110010001…
…0101111010100110010000
31120121102221112201001000000
42233013210111322212100
53034131200243041014
641332205320130000
72351300406125121
oct257074425724620
946542845631000
1012034034346384
11391a672730aa6
121424339906900
13693a5c84079b
142d8643b5c048
1515d075d06509
hexaf1e457a990

12034034346384 has 140 divisors (see below), whose sum is σ = 34974773688976. Its totient is φ = 4009410933696.

The previous prime is 12034034346353. The next prime is 12034034346413. The reversal of 12034034346384 is 48364343043021.

12034034346384 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 4 + 0 + 3 + 4 + 3 + 4 + 638 + 4 = 666.

12034034346384 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 polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 24048459 + ... + 24543765.

Almost surely, 212034034346384 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 12034034346384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17487386844488).

12034034346384 is an abundant number, since it is smaller than the sum of its proper divisors (22940739342592).

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

12034034346384 is an equidigital number, since it uses as much as digits as its factorization.

12034034346384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497416 (or 497395 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 12034034346384 in words is "twelve trillion, thirty-four billion, thirty-four million, three hundred forty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2083 2916 3888 4166 5832 6249 8332 11664 12498 16664 18747 24996 33328 37494 49992 56241 74988 99984 112482 149976 168723 224964 299952 337446 449928 495307 506169 674892 899856 990614 1012338 1349784 1485921 1518507 1981228 2024676 2699568 2971842 3037014 3962456 4049352 4457763 5943684 6074028 7924912 8098704 8915526 11887368 12148056 13373289 17831052 23774736 24296112 26746578 35662104 40119867 53493156 71324208 80239734 106986312 120359601 160479468 213972624 240719202 320958936 361078803 481438404 641917872 722157606 962876808 1031724481 1444315212 1925753616 2063448962 2888630424 3095173443 4126897924 5777260848 6190346886 8253795848 9285520329 12380693772 16507591696 18571040658 24761387544 27856560987 37142081316 49522775088 55713121974 74284162632 83569682961 111426243948 148568325264 167139365922 222852487896 250709048883 334278731844 445704975792 501418097766 668557463688 752127146649 1002836195532 1337114927376 1504254293298 2005672391064 3008508586596 4011344782128 6017017173192 12034034346384