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83542786512 = 24347239154943
BaseRepresentation
bin100110111001110001…
…0011100000111010000
321222122020111021110020
41031303202130013100
52332043423132022
6102213511503440
76015160653153
oct1156342340720
9258566437406
1083542786512
11324807a8019
1214236387b80
137b551023b3
1440874b3c9a
15228e52d35c
hex137389c1d0

83542786512 has 80 divisors (see below), whose sum is σ = 221334405120. Its totient is φ = 27140880256.

The previous prime is 83542786501. The next prime is 83542786589. The reversal of 83542786512 is 21568724538.

It is a super-2 number, since 2×835427865122 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 461713 + ... + 616655.

It is an arithmetic number, because the mean of its divisors is an integer number (2766680064).

Almost surely, 283542786512 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 83542786512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110667202560).

83542786512 is an abundant number, since it is smaller than the sum of its proper divisors (137791618608).

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

83542786512 is a wasteful number, since it uses less digits than its factorization.

83542786512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155240 (or 155234 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The spelling of 83542786512 in words is "eighty-three billion, five hundred forty-two million, seven hundred eighty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 239 282 376 478 564 717 752 956 1128 1434 1912 2256 2868 3824 5736 11233 11472 22466 33699 44932 67398 89864 134796 154943 179728 269592 309886 464829 539184 619772 929658 1239544 1859316 2479088 3718632 7282321 7437264 14564642 21846963 29129284 37031377 43693926 58258568 74062754 87387852 111094131 116517136 148125508 174775704 222188262 296251016 349551408 444376524 592502032 888753048 1740474719 1777506096 3480949438 5221424157 6961898876 10442848314 13923797752 20885696628 27847595504 41771393256 83542786512