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213323289642 = 232191154340213
BaseRepresentation
bin1100011010101100001…
…1110001010000101010
3202101121212101220222100
43012223003301100222
511443341230232032
6241555510234230
721261231021021
oct3065303612052
9671555356870
10213323289642
1182519487981
1235415655976
1317168684508
14a4797638b8
155837e8597c
hex31ab0f142a

213323289642 has 48 divisors (see below), whose sum is σ = 464933035008. Its totient is φ = 70687870560.

The previous prime is 213323289631. The next prime is 213323289661. The reversal of 213323289642 is 246982323312.

213323289642 is a `hidden beast` number, since 2 + 1 + 3 + 323 + 289 + 6 + 42 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5284728 + ... + 5324940.

It is an arithmetic number, because the mean of its divisors is an integer number (9686104896).

Almost surely, 2213323289642 is an apocalyptic number.

213323289642 is an abundant number, since it is smaller than the sum of its proper divisors (251609745366).

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

213323289642 is a wasteful number, since it uses less digits than its factorization.

213323289642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41955 (or 41952 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 213323289642 in words is "two hundred thirteen billion, three hundred twenty-three million, two hundred eighty-nine thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 191 382 573 1146 1543 1719 3086 3438 4629 9258 13887 27774 40213 80426 120639 241278 294713 361917 589426 723834 884139 1768278 2652417 5304834 7680683 15361366 23042049 46084098 62048659 69126147 124097318 138252294 186145977 372291954 558437931 1116875862 11851293869 23702587738 35553881607 71107763214 106661644821 213323289642