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816216333252 = 223578391175989
BaseRepresentation
bin10111110000010100100…
…10001101101111000100
32220000210112000211012220
423320022102031233010
5101333102340131002
61422544204412340
7112653413234355
oct13701222155704
92800715024186
10816216333252
11295178928a01
121122312470b0
135bc797b8338
142b70dd2bd2c
1516371cbb7bc
hexbe0a48dbc4

816216333252 has 24 divisors (see below), whose sum is σ = 1904539324800. Its totient is φ = 272067175776.

The previous prime is 816216333227. The next prime is 816216333271. The reversal of 816216333252 is 252333612618.

It is a super-3 number, since 3×8162163332523 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106074 + ... + 1282062.

It is an arithmetic number, because the mean of its divisors is an integer number (79355805200).

Almost surely, 2816216333252 is an apocalyptic number.

It is an amenable number.

816216333252 is an abundant number, since it is smaller than the sum of its proper divisors (1088322991548).

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

816216333252 is a wasteful number, since it uses less digits than its factorization.

816216333252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233835 (or 1233833 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 816216333252 in words is "eight hundred sixteen billion, two hundred sixteen million, three hundred thirty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 57839 115678 173517 231356 347034 694068 1175989 2351978 3527967 4703956 7055934 14111868 68018027771 136036055542 204054083313 272072111084 408108166626 816216333252