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12804422440821 = 3111213319878649
BaseRepresentation
bin1011101001010100001100…
…0011010001011101110101
31200100002110012211010002120
42322111003003101131311
53134241424121101241
643122134230430153
72461042344646014
oct272250303213565
950302405733076
1012804422440821
114097363725870
1215296bb202359
1371b5b495863b
14323a47420a7b
151731145d0666
hexba5430d1775

12804422440821 has 16 divisors (see below), whose sum is σ = 18639968692800. Its totient is φ = 7753858427520.

The previous prime is 12804422440819. The next prime is 12804422440847.

12804422440821 is nontrivially palindromic in base 10.

12804422440821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12804422440821 - 21 = 12804422440819 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12804422040821) 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, 159899296 + ... + 159979353.

It is an arithmetic number, because the mean of its divisors is an integer number (1164998043300).

Almost surely, 212804422440821 is an apocalyptic number.

12804422440821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12804422440821 is a deficient number, since it is larger than the sum of its proper divisors (5835546251979).

12804422440821 is a wasteful number, since it uses less digits than its factorization.

12804422440821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319879876.

The product of its (nonzero) digits is 262144, while the sum is 42.

The spelling of 12804422440821 in words is "twelve trillion, eight hundred four billion, four hundred twenty-two million, four hundred forty thousand, eight hundred twenty-one".

Divisors: 1 3 11 33 1213 3639 13343 40029 319878649 959635947 3518665139 10555995417 388012801237 1164038403711 4268140813607 12804422440821