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82813358016 = 26355324933
BaseRepresentation
bin100110100100000001…
…1111000111111000000
321220202101221110200000
41031020003320333000
52324100204424031
6102013253400000
75661122633364
oct1151003707700
9256671843600
1082813358016
1132136a88654
1214072039000
137a69c5b1bc
1440186792a4
15224a4963e6
hex13480f8fc0

82813358016 has 84 divisors (see below), whose sum is σ = 246161048952. Its totient is φ = 27604447488.

The previous prime is 82813358011. The next prime is 82813358053. The reversal of 82813358016 is 61085331828.

82813358016 is a `hidden beast` number, since 8 + 28 + 1 + 33 + 580 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82813358011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2646915 + ... + 2678018.

It is an arithmetic number, because the mean of its divisors is an integer number (2930488678).

Almost surely, 282813358016 is an apocalyptic number.

It is an amenable number.

82813358016 is an abundant number, since it is smaller than the sum of its proper divisors (163347690936).

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

82813358016 is an equidigital number, since it uses as much as digits as its factorization.

82813358016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5324960 (or 5324938 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 82813358016 in words is "eighty-two billion, eight hundred thirteen million, three hundred fifty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552 5324933 10649866 15974799 21299732 31949598 42599464 47924397 63899196 85198928 95848794 127798392 143773191 170397856 191697588 255596784 287546382 340795712 383395176 431319573 511193568 575092764 766790352 862639146 1022387136 1150185528 1293958719 1533580704 1725278292 2300371056 2587917438 3067161408 3450556584 4600742112 5175834876 6901113168 9201484224 10351669752 13802226336 20703339504 27604452672 41406679008 82813358016