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83416759136 = 2519419327443
BaseRepresentation
bin100110110110000000…
…1101011101101100000
321222022110100102101122
41031230001223231200
52331314142243021
6102153210351412
76012100516334
oct1155401535540
9258273312348
1083416759136
1132416649867
121420012b568
137b34c77b99
1440748697c4
152283436bab
hex136c06bb60

83416759136 has 48 divisors (see below), whose sum is σ = 173283364800. Its totient is φ = 39418777728.

The previous prime is 83416759123. The next prime is 83416759177. The reversal of 83416759136 is 63195761438.

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 7 ways as a sum of consecutive naturals, for example, 91031 + ... + 418473.

It is an arithmetic number, because the mean of its divisors is an integer number (3610070100).

Almost surely, 283416759136 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 83416759136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86641682400).

83416759136 is an abundant number, since it is smaller than the sum of its proper divisors (89866605664).

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

83416759136 is a wasteful number, since it uses less digits than its factorization.

83416759136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327891 (or 327883 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 53.

The spelling of 83416759136 in words is "eighty-three billion, four hundred sixteen million, seven hundred fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 419 608 838 1676 3352 6704 7961 13408 15922 31844 63688 127376 254752 327443 654886 1309772 2619544 5239088 6221417 10478176 12442834 24885668 49771336 99542672 137198617 199085344 274397234 548794468 1097588936 2195177872 2606773723 4390355744 5213547446 10427094892 20854189784 41708379568 83416759136