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221421327266634 = 231131239756315619
BaseRepresentation
bin110010010110000110101011…
…100011101011001101001010
31002000222200011000002202111020
4302112012223203223031022
5213010231334240013014
62102531315315413310
764432106621636415
oct6226065343531512
91060880130082436
10221421327266634
1164608291888770
1220a00b2a5b4236
139671c31818181
143c96bc6b50b7c
151a8ea245ca1a9
hexc961ab8eb34a

221421327266634 has 192 divisors, whose sum is σ = 501366077498880. Its totient is φ = 64650198729600.

The previous prime is 221421327266617. The next prime is 221421327266663. The reversal of 221421327266634 is 436662723124122.

221421327266634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14176400877 + ... + 14176416495.

It is an arithmetic number, because the mean of its divisors is an integer number (2611281653640).

Almost surely, 2221421327266634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221421327266634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250683038749440).

221421327266634 is an abundant number, since it is smaller than the sum of its proper divisors (279944750232246).

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

221421327266634 is a wasteful number, since it uses less digits than its factorization.

221421327266634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16657 (or 16626 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 51.

The spelling of 221421327266634 in words is "two hundred twenty-one trillion, four hundred twenty-one billion, three hundred twenty-seven million, two hundred sixty-six thousand, six hundred thirty-four".