Search a number
-
+
816788434212 = 2232148311529807
BaseRepresentation
bin10111110001011000110…
…00100110110100100100
32220002021101112120012100
423320230120212310210
5101340240314343322
61423121042452100
7113003531065242
oct13705430466444
92802241476170
10816788434212
11295441860913
12112370964030
135c03b19630a
142b765cd1792
15163a7127dac
hexbe2c626d24

816788434212 has 36 divisors (see below), whose sum is σ = 2064800215296. Its totient is φ = 272244275760.

The previous prime is 816788434201. The next prime is 816788434243. The reversal of 816788434212 is 212434887618.

816788434212 is a `hidden beast` number, since 81 + 67 + 8 + 84 + 3 + 421 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 230988 + ... + 1298819.

It is an arithmetic number, because the mean of its divisors is an integer number (57355561536).

Almost surely, 2816788434212 is an apocalyptic number.

It is an amenable number.

816788434212 is an abundant number, since it is smaller than the sum of its proper divisors (1248011781084).

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

816788434212 is a wasteful number, since it uses less digits than its factorization.

816788434212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544648 (or 1544643 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 816788434212 in words is "eight hundred sixteen billion, seven hundred eighty-eight million, four hundred thirty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 14831 29662 44493 59324 88986 133479 177972 266958 533916 1529807 3059614 4589421 6119228 9178842 13768263 18357684 27536526 55073052 22688567617 45377135234 68065702851 90754270468 136131405702 204197108553 272262811404 408394217106 816788434212