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13363199982 = 23211677313799
BaseRepresentation
bin11000111001000001…
…00011111111101110
31021111022012220011200
430130200203333232
5204331434344412
610050003430330
7652103216466
oct143440437756
937438186150
1013363199982
1157381a5a30
12270b3853a6
13134c6ca132
1490aab0ba6
155332969dc
hex31c823fee

13363199982 has 96 divisors (see below), whose sum is σ = 32498668800. Its totient is φ = 3934085760.

The previous prime is 13363199981. The next prime is 13363200017. The reversal of 13363199982 is 28999136331.

It is a happy number.

13363199982 is a `hidden beast` number, since 1 + 3 + 363 + 199 + 98 + 2 = 666.

It is a super-2 number, since 2×133631999822 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13363199981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 961519 + ... + 975317.

It is an arithmetic number, because the mean of its divisors is an integer number (338527800).

Almost surely, 213363199982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13363199982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16249334400).

13363199982 is an abundant number, since it is smaller than the sum of its proper divisors (19135468818).

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

13363199982 is a wasteful number, since it uses less digits than its factorization.

13363199982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13958 (or 13955 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The spelling of 13363199982 in words is "thirteen billion, three hundred sixty-three million, one hundred ninety-nine thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 73 99 134 146 198 201 219 402 438 603 657 737 803 1206 1314 1474 1606 2211 2409 4422 4818 4891 6633 7227 9782 13266 13799 14454 14673 27598 29346 41397 44019 53801 82794 88038 107602 124191 151789 161403 248382 303578 322806 455367 484209 910734 924533 968418 1007327 1366101 1849066 2014654 2732202 2773599 3021981 5547198 6043962 8320797 9065943 10169863 11080597 16641594 18131886 20339726 22161194 30509589 33241791 61019178 66483582 67490909 91528767 99725373 134981818 183057534 199450746 202472727 404945454 607418181 742399999 1214836362 1484799998 2227199997 4454399994 6681599991 13363199982