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83036526303844 = 2219229282692
BaseRepresentation
bin10010111000010101110010…
…101001110101101001100100
3101220000012210021210210021101
4102320111302221311221210
541340432301213210334
6452334241545325444
723330122346621251
oct2270256251655144
9356005707723241
1083036526303844
1124504658382593
129391050796884
133744406b87859
141670dbc986428
1598ee85c01214
hex4b8572a75a64

83036526303844 has 81 divisors (see below), whose sum is σ = 158854557273867. Its totient is φ = 37972185241536.

The previous prime is 83036526303827. The next prime is 83036526303937. The reversal of 83036526303844 is 44830362563038.

The square root of 83036526303844 is 9112438.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20707396089444 + 62329130214400 = 4550538^2 + 7894880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10041902542 + ... + 10041910810.

Almost surely, 283036526303844 is an apocalyptic number.

83036526303844 is the 9112438-th square number.

It is an amenable number.

83036526303844 is a deficient number, since it is larger than the sum of its proper divisors (75818030970023).

83036526303844 is an frugal number, since it uses more digits than its factorization.

83036526303844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16638 (or 8319 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 55.

The spelling of 83036526303844 in words is "eighty-three trillion, thirty-six billion, five hundred twenty-six million, three hundred three thousand, eight hundred forty-four".

Divisors: 1 2 4 19 29 38 58 76 116 361 551 722 841 1102 1444 1682 2204 3364 8269 10469 15979 16538 20938 31958 33076 41876 63916 157111 239801 303601 314222 479602 607202 628444 959204 1214404 2985109 4556219 5970218 6954229 9112438 11940436 13908458 18224876 27816916 68376361 86568161 132130351 136752722 173136322 264260702 273505444 346272644 528521404 1299150859 1982914469 2510476669 2598301718 3965828938 5020953338 5196603436 7931657876 10041906676 24683866321 37675374911 49367732642 57504519601 75350749822 98735465284 115009039202 150701499644 230018078404 715832123309 1092585872419 1431664246618 2185171744838 2863328493236 4370343489676 20759131575961 41518263151922 83036526303844