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816570012 = 2232310927143
BaseRepresentation
bin110000101010111…
…101111010011100
32002220112001110210
4300222331322130
53133020220022
6213005532420
726143505406
oct6052757234
92086461423
10816570012
11389a29155
121a9574110
1310023502b
147a63db76
154ba4ba0c
hex30abde9c

816570012 has 48 divisors (see below), whose sum is σ = 2006484480. Its totient is φ = 257957568.

The previous prime is 816569921. The next prime is 816570037. The reversal of 816570012 is 210075618.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 16513 + ... + 43655.

It is an arithmetic number, because the mean of its divisors is an integer number (41801760).

Almost surely, 2816570012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816570012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003242240).

816570012 is an abundant number, since it is smaller than the sum of its proper divisors (1189914468).

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

816570012 is a wasteful number, since it uses less digits than its factorization.

816570012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27282 (or 27280 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 816570012 is about 28575.6891780408. The cubic root of 816570012 is about 934.6832835422.

The spelling of 816570012 in words is "eight hundred sixteen million, five hundred seventy thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 109 138 218 276 327 436 654 1308 2507 5014 7521 10028 15042 27143 30084 54286 81429 108572 162858 325716 624289 1248578 1872867 2497156 2958587 3745734 5917174 7491468 8875761 11834348 17751522 35503044 68047501 136095002 204142503 272190004 408285006 816570012