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8198253112 = 2372611672053
BaseRepresentation
bin1111010001010011…
…10110101000111000
3210011100110102001011
413220221312220320
5113242223044422
63433301003304
7410106000400
oct75051665070
923140412034
108198253112
1135277779a5
1217096b3534
13a0863825a
1457ab53800
1532eb0c077
hex1e8a76a38

8198253112 has 96 divisors (see below), whose sum is σ = 18292266720. Its totient is φ = 3433570560.

The previous prime is 8198253109. The next prime is 8198253121. The reversal of 8198253112 is 2113528918.

It is a super-2 number, since 2×81982531122 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 3992278 + ... + 3994330.

It is an arithmetic number, because the mean of its divisors is an integer number (190544445).

Almost surely, 28198253112 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 8198253112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9146133360).

8198253112 is an abundant number, since it is smaller than the sum of its proper divisors (10094013608).

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

8198253112 is a wasteful number, since it uses less digits than its factorization.

8198253112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2290 counting only the distinct ones).

The product of its digits is 34560, while the sum is 40.

The square root of 8198253112 is about 90544.2052922218. The cubic root of 8198253112 is about 2016.3864678331.

The spelling of 8198253112 in words is "eight billion, one hundred ninety-eight million, two hundred fifty-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 61 98 122 167 196 244 334 392 427 488 668 854 1169 1336 1708 2053 2338 2989 3416 4106 4676 5978 8183 8212 9352 10187 11956 14371 16366 16424 20374 23912 28742 32732 40748 57484 65464 71309 81496 100597 114968 125233 142618 201194 250466 285236 342851 402388 499163 500932 570472 685702 804776 876631 998326 1001864 1371404 1753262 1996652 2399957 2742808 3506524 3993304 4799914 6136417 7013048 9599828 12272834 16799699 19199656 20913911 24545668 33599398 41827822 49091336 67198796 83655644 134397592 146397377 167311288 292794754 585589508 1024781639 1171179016 2049563278 4099126556 8198253112