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12080824159504 = 248689372
BaseRepresentation
bin1010111111001100100100…
…1110111000110100010000
31120202220201101222211002111
42233303021032320310100
53040413011441101004
641405504244155104
72354545041022342
oct257631116706420
946686641884074
1012080824159504
1139384a3323141
121431417698a94
136982a84b6039
142daa01db1292
1515e3b3939a04
hexafcc93b8d10

12080824159504 has 15 divisors (see below), whose sum is σ = 23406623746117. Its totient is φ = 6040405128256.

The previous prime is 12080824159501. The next prime is 12080824159511. The reversal of 12080824159504 is 40595142808021.

It is a happy number.

The square root of 12080824159504 is 3475748.

It is a perfect power (a square), and thus also a powerful number.

12080824159504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 239297072400 + 11841527087104 = 489180^2 + 3441152^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12080824159501) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 13468524 + ... + 14337460.

Almost surely, 212080824159504 is an apocalyptic number.

12080824159504 is the 3475748-th square number.

It is an amenable number.

12080824159504 is a deficient number, since it is larger than the sum of its proper divisors (11325799586613).

12080824159504 is an frugal number, since it uses more digits than its factorization.

12080824159504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737882 (or 868939 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 49.

Multiplying 12080824159504 by its sum of digits (49), we get a square (591960383815696 = 243302362).

The spelling of 12080824159504 in words is "twelve trillion, eighty billion, eight hundred twenty-four million, one hundred fifty-nine thousand, five hundred four".

Divisors: 1 2 4 8 16 868937 1737874 3475748 6951496 13902992 755051509969 1510103019938 3020206039876 6040412079752 12080824159504