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499131131994 = 233113113797129
BaseRepresentation
bin1110100001101101000…
…10001010100001011010
31202201100022021122102000
413100312202022201122
531134210032210434
61021144144221430
751026635422435
oct7206642124132
91681308248360
10499131131994
1118275356a070
128089a00a876
13380b61346b1
141a22da8c81c
15ceb4705b99
hex743688a85a

499131131994 has 128 divisors (see below), whose sum is σ = 1217279232000. Its totient is φ = 150346627200.

The previous prime is 499131131977. The next prime is 499131132043.

499131131994 is a `hidden beast` number, since 4 + 9 + 9 + 1 + 311 + 319 + 9 + 4 = 666.

499131131994 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4991311319942 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 499131131994.

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 63 ways as a sum of consecutive naturals, for example, 70010622 + ... + 70017750.

It is an arithmetic number, because the mean of its divisors is an integer number (9509994000).

Almost surely, 2499131131994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499131131994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608639616000).

499131131994 is an abundant number, since it is smaller than the sum of its proper divisors (718148100006).

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

499131131994 is a wasteful number, since it uses less digits than its factorization.

499131131994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7841 (or 7835 counting only the distinct ones).

The product of its digits is 944784, while the sum is 54.

The spelling of 499131131994 in words is "four hundred ninety-nine billion, one hundred thirty-one million, one hundred thirty-one thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 311 379 594 622 758 933 1137 1866 2274 2799 3411 3421 4169 5598 6822 6842 7129 8338 8397 10233 10263 12507 14258 16794 20466 20526 21387 25014 30789 37521 42774 61578 64161 75042 78419 92367 112563 117869 128322 156838 184734 192483 225126 235257 235738 353607 384966 470514 705771 707214 1060821 1296559 1411542 2117313 2121642 2217119 2593118 2701891 3182463 3889677 4234626 4434238 5403782 6364926 6651357 7779354 8105673 11669031 13302714 16211346 19954071 23338062 24317019 24388309 29720801 35007093 39908142 48634038 48776618 59441602 59862213 70014186 72951057 73164927 89162403 119724426 145902114 146329854 178324806 219494781 267487209 438989562 534974418 658484343 802461627 840288101 1316968686 1604923254 1680576202 2520864303 5041728606 7562592909 9243169111 15125185818 18486338222 22687778727 27729507333 45375557454 55459014666 83188521999 166377043998 249565565997 499131131994