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819116496 = 243311172373
BaseRepresentation
bin110000110100101…
…011100111010000
32010002022102121000
4300310223213100
53134143211441
6213140302000
726204242512
oct6064534720
92102272530
10819116496
11390408390
121aa3a1900
13100917123
147ab03bb2
154bda12b6
hex30d2b9d0

819116496 has 80 divisors (see below), whose sum is σ = 2564925120. Its totient is φ = 248215680.

The previous prime is 819116453. The next prime is 819116497. The reversal of 819116496 is 694611918.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819116497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81435 + ... + 90938.

It is an arithmetic number, because the mean of its divisors is an integer number (32061564).

Almost surely, 2819116496 is an apocalyptic number.

It is an amenable number.

819116496 is an abundant number, since it is smaller than the sum of its proper divisors (1745808624).

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

819116496 is a wasteful number, since it uses less digits than its factorization.

819116496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172401 (or 172389 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 819116496 is about 28620.2113199746. The cubic root of 819116496 is about 935.6538825466.

The spelling of 819116496 in words is "eight hundred nineteen million, one hundred sixteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 172373 344746 517119 689492 1034238 1378984 1551357 1896103 2068476 2757968 3102714 3792206 4136952 4654071 5688309 6205428 7584412 8273904 9308142 11376618 12410856 15168824 17064927 18616284 22753236 24821712 30337648 34129854 37232568 45506472 51194781 68259708 74465136 91012944 102389562 136519416 204779124 273038832 409558248 819116496