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8233818164 = 22112132814657
BaseRepresentation
bin1111010101100011…
…00001100000110100
3210020211101022010022
413222301201200310
5113330324140124
63441011144312
7411020204525
oct75261414064
923224338108
108233818164
113545859500
1217195a5098
13a12b0b270
1458177084c
15332cd4c5e
hex1eac61834

8233818164 has 72 divisors (see below), whose sum is σ = 17120888904. Its totient is φ = 3441715200.

The previous prime is 8233818161. The next prime is 8233818217. The reversal of 8233818164 is 4618183328.

It can be written as a sum of positive squares in 4 ways, for example, as 42120100 + 8191698064 = 6490^2 + 90508^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8233818161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1765724 + ... + 1770380.

Almost surely, 28233818164 is an apocalyptic number.

It is an amenable number.

8233818164 is an abundant number, since it is smaller than the sum of its proper divisors (8887070740).

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

8233818164 is a wasteful number, since it uses less digits than its factorization.

8233818164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977 (or 4964 counting only the distinct ones).

The product of its digits is 221184, while the sum is 44.

The square root of 8233818164 is about 90740.3888243818. The cubic root of 8233818164 is about 2019.2980409030.

The spelling of 8233818164 in words is "eight billion, two hundred thirty-three million, eight hundred eighteen thousand, one hundred sixty-four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 242 281 286 484 562 572 1124 1573 3091 3146 3653 4657 6182 6292 7306 9314 12364 14612 18628 34001 40183 51227 60541 68002 80366 102454 121082 136004 160732 204908 242164 442013 563497 665951 884026 1126994 1308617 1331902 1768052 2253988 2617234 2663804 5234468 7325461 14394787 14650922 17012021 28789574 29301844 34024042 57579148 68048084 158342657 187132231 316685314 374264462 633370628 748528924 2058454541 4116909082 8233818164