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12004856480233 = 176529108158681
BaseRepresentation
bin1010111010110001100100…
…1101001100000111101001
31120111122122002101212020201
42232230121031030013221
53033141421224331413
641310542133152201
72346215351300011
oct256543115140751
946448562355221
1012004856480233
11390925a576331
12141a75618b661
1369108c8ab026
142d70769a0c41
1515c4194779dd
hexaeb1934c1e9

12004856480233 has 8 divisors (see below), whose sum is σ = 12712971482280. Its totient is φ = 11296957808640.

The previous prime is 12004856480167. The next prime is 12004856480297. The reversal of 12004856480233 is 33208465840021.

12004856480233 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 4 ways, for example, as 1597728864169 + 10407127616064 = 1264013^2 + 3226008^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-12004856480233 is a prime.

It is a super-2 number, since 2×120048564802332 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12004856490233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53968348 + ... + 54190333.

It is an arithmetic number, because the mean of its divisors is an integer number (1589121435285).

Almost surely, 212004856480233 is an apocalyptic number.

It is an amenable number.

12004856480233 is a deficient number, since it is larger than the sum of its proper divisors (708115002047).

12004856480233 is a wasteful number, since it uses less digits than its factorization.

12004856480233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108165227.

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 12004856480233 in words is "twelve trillion, four billion, eight hundred fifty-six million, four hundred eighty thousand, two hundred thirty-three".

Divisors: 1 17 6529 110993 108158681 1838697577 706168028249 12004856480233