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1321826216816 = 24771271655959
BaseRepresentation
bin10011001111000010111…
…110110110101101110000
311200100212100020010222202
4103033002332312231300
5133124100002414231
62451123311122332
7164333041313510
oct23170276665560
94610770203882
101321826216816
1146a646491a06
12194218b133a8
1397855c41131
1447d9620d840
15245b51775cb
hex133c2fb6b70

1321826216816 has 40 divisors (see below), whose sum is σ = 2927313354240. Its totient is φ = 566417121984.

The previous prime is 1321826216807. The next prime is 1321826216903. The reversal of 1321826216816 is 6186126281231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29756 + ... + 1626203.

It is an arithmetic number, because the mean of its divisors is an integer number (73182833856).

Almost surely, 21321826216816 is an apocalyptic number.

1321826216816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1321826216816 is an abundant number, since it is smaller than the sum of its proper divisors (1605487137424).

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

1321826216816 is a wasteful number, since it uses less digits than its factorization.

1321826216816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663101 (or 1663095 counting only the distinct ones).

The product of its digits is 331776, while the sum is 47.

The spelling of 1321826216816 in words is "one trillion, three hundred twenty-one billion, eight hundred twenty-six million, two hundred sixteen thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 7127 14254 28508 49889 57016 99778 114032 199556 399112 798224 1655959 3311918 6623836 11591713 13247672 23183426 26495344 46366852 92733704 185467408 11802019793 23604039586 47208079172 82614138551 94416158344 165228277102 188832316688 330456554204 660913108408 1321826216816