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83082752746136 = 23112137390441823
BaseRepresentation
bin10010111001000000110101…
…111101101110001010011000
3101220011122002220000100212122
4102321000311331232022120
541342211434200334021
6452411404550400412
723333350031115113
oct2271006575561230
9356148086010778
1083082752746136
1124522219a64900
129399bb1960108
133748892bba9a0
14167332606957a
1599128e14ebab
hex4b9035f6e298

83082752746136 has 96 divisors (see below), whose sum is σ = 186926970679680. Its totient is φ = 34382363051520.

The previous prime is 83082752746127. The next prime is 83082752746163. The reversal of 83082752746136 is 63164725728038.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 44302280 + ... + 46139543.

It is an arithmetic number, because the mean of its divisors is an integer number (1947155944580).

Almost surely, 283082752746136 is an apocalyptic number.

It is an amenable number.

83082752746136 is an abundant number, since it is smaller than the sum of its proper divisors (103844217933544).

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

83082752746136 is a wasteful number, since it uses less digits than its factorization.

83082752746136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90441937 (or 90441922 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 62.

The spelling of 83082752746136 in words is "eighty-three trillion, eighty-two billion, seven hundred fifty-two million, seven hundred forty-six thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 73 88 104 121 143 146 242 286 292 484 572 584 803 949 968 1144 1573 1606 1898 3146 3212 3796 6292 6424 7592 8833 10439 12584 17666 20878 35332 41756 70664 83512 114829 229658 459316 918632 90441823 180883646 361767292 723534584 994860053 1175743699 1989720106 2351487398 3979440212 4702974796 6602253079 7958880424 9405949592 10943460583 12933180689 13204506158 21886921166 25866361378 26409012316 43773842332 51732722756 52818024632 72624783869 85829290027 87547684664 103465445512 142264987579 145249567738 171658580054 284529975158 290499135476 343317160108 569059950316 580998270952 686634320216 798872622559 944122190297 1138119900632 1597745245118 1888244380594 3195490490236 3776488761188 6390980980472 7552977522376 10385344093267 20770688186534 41541376373068 83082752746136