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12071626053504 = 27341811945431
BaseRepresentation
bin1010111110101010010011…
…1110111001011110000000
31120202000222101010121201220
42233222210332321132000
53040240142232203004
641401343424555040
72354101101302643
oct257524476713600
946660871117656
1012071626053504
113934603222a46
12142b68b182a80
13697470992874
142da3ac54ba5a
1515e026179dd9
hexafaa4fb9780

12071626053504 has 128 divisors (see below), whose sum is σ = 32887873186560. Its totient is φ = 3920887296000.

The previous prime is 12071626053503. The next prime is 12071626053523. The reversal of 12071626053504 is 40535062617021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12071626053503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12295669 + ... + 13241099.

It is an arithmetic number, because the mean of its divisors is an integer number (256936509270).

Almost surely, 212071626053504 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 12071626053504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16443936593280).

12071626053504 is an abundant number, since it is smaller than the sum of its proper divisors (20816247133056).

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

12071626053504 is an equidigital number, since it uses as much as digits as its factorization.

12071626053504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946300 (or 946288 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 12071626053504 in words is "twelve trillion, seventy-one billion, six hundred twenty-six million, fifty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 811 984 1312 1622 1968 2433 2624 3244 3936 4866 5248 6488 7872 9732 12976 15744 19464 25952 33251 38928 51904 66502 77856 99753 103808 133004 155712 199506 266008 311424 399012 532016 798024 945431 1064032 1596048 1890862 2128064 2836293 3192096 3781724 4256128 5672586 6384192 7563448 11345172 12768384 15126896 22690344 30253792 38762671 45380688 60507584 77525342 90761376 116288013 121015168 155050684 181522752 232576026 310101368 363045504 465152052 620202736 766744541 930304104 1240405472 1533489082 1860608208 2300233623 2480810944 3066978164 3721216416 4600467246 4961621888 6133956328 7442432832 9200934492 12267912656 14884865664 18401868984 24535825312 31436526181 36803737968 49071650624 62873052362 73607475936 94309578543 98143301248 125746104724 147214951872 188619157086 251492209448 294429903744 377238314172 502984418896 754476628344 1005968837792 1508953256688 2011937675584 3017906513376 4023875351168 6035813026752 12071626053504