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83368982790 = 232529263121453
BaseRepresentation
bin100110110100100101…
…1011011100100000110
321222012010110010120100
41031221023123210012
52331214424422130
6102144342344530
76010650442602
oct1155113334406
9258163403510
1083368982790
11323a1687785
12141a812b146
137b280ba962
14406c390502
15227e14ac60
hex13692db906

83368982790 has 96 divisors (see below), whose sum is σ = 225088269120. Its totient is φ = 21383324928.

The previous prime is 83368982759. The next prime is 83368982797. The reversal of 83368982790 is 9728986338.

83368982790 is a `hidden beast` number, since 83 + 368 + 98 + 27 + 90 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83368982797) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 625704 + ... + 747156.

It is an arithmetic number, because the mean of its divisors is an integer number (2344669470).

Almost surely, 283368982790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83368982790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112544134560).

83368982790 is an abundant number, since it is smaller than the sum of its proper divisors (141719286330).

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

83368982790 is a wasteful number, since it uses less digits than its factorization.

83368982790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121758 (or 121755 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 83368982790 in words is "eighty-three billion, three hundred sixty-eight million, nine hundred eighty-two thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 263 290 435 522 526 789 870 1305 1315 1578 2367 2610 2630 3945 4734 7627 7890 11835 15254 22881 23670 38135 45762 68643 76270 114405 121453 137286 228810 242906 343215 364359 607265 686430 728718 1093077 1214530 1821795 2186154 3522137 3643590 5465385 7044274 10566411 10930770 17610685 21132822 31699233 31942139 35221370 52832055 63398466 63884278 95826417 105664110 158496165 159710695 191652834 287479251 316992330 319421390 479132085 574958502 926322031 958264170 1437396255 1852644062 2778966093 2874792510 4631610155 5557932186 8336898279 9263220310 13894830465 16673796558 27789660930 41684491395 83368982790