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82997470200 = 23352409338213
BaseRepresentation
bin100110101001100001…
…0001110001111111000
321221020020101100002210
41031103002032033320
52324434323021300
6102043431455120
75665516566531
oct1152302161770
9257206340083
1082997470200
11322209a9887
12141038274a0
137a99141a18
144034cc3688
15225b713050
hex135308e3f8

82997470200 has 96 divisors (see below), whose sum is σ = 257921996400. Its totient is φ = 22078479360.

The previous prime is 82997470147. The next prime is 82997470223. The reversal of 82997470200 is 207479928.

It is a self number, because there is not a number n which added to its sum of digits gives 82997470200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76294 + ... + 414506.

Almost surely, 282997470200 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 82997470200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128960998200).

82997470200 is an abundant number, since it is smaller than the sum of its proper divisors (174924526200).

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

82997470200 is a wasteful number, since it uses less digits than its factorization.

82997470200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338641 (or 338632 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 82997470200 in words is "eighty-two billion, nine hundred ninety-seven million, four hundred seventy thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 409 600 818 1227 1636 2045 2454 3272 4090 4908 6135 8180 9816 10225 12270 16360 20450 24540 30675 40900 49080 61350 81800 122700 245400 338213 676426 1014639 1352852 1691065 2029278 2705704 3382130 4058556 5073195 6764260 8117112 8455325 10146390 13528520 16910650 20292780 25365975 33821300 40585560 50731950 67642600 101463900 138329117 202927800 276658234 414987351 553316468 691645585 829974702 1106632936 1383291170 1659949404 2074936755 2766582340 3319898808 3458227925 4149873510 5533164680 6916455850 8299747020 10374683775 13832911700 16599494040 20749367550 27665823400 41498735100 82997470200