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12034279615488 = 2103136797199233
BaseRepresentation
bin1010111100011111001011…
…1101100010110000000000
31120121110120122012222221220
42233013302331202300000
53034132201040143423
641332245521115040
72351306444644314
oct257076275426000
946543518188856
1012034279615488
11391a789123339
1214243a7a88a80
13693a9b5b7a30
142d8668565b44
1515d08c6039e3
hexaf1f2f62c00

12034279615488 has 704 divisors, whose sum is σ = 35750877926400. Its totient is φ = 3576428494848.

The previous prime is 12034279615373. The next prime is 12034279615507. The reversal of 12034279615488 is 88451697243021.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51649268620 + ... + 51649268852.

It is a 1-persistent number, because it is pandigital, but 2⋅12034279615488 = 24068559230976 is not.

Almost surely, 212034279615488 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 12034279615488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17875438963200).

12034279615488 is an abundant number, since it is smaller than the sum of its proper divisors (23716598310912).

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

12034279615488 is a wasteful number, since it uses less digits than its factorization.

12034279615488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 12034279615488 in words is "twelve trillion, thirty-four billion, two hundred seventy-nine million, six hundred fifteen thousand, four hundred eighty-eight".