Search a number
-
+
83024941320 = 23325385159887
BaseRepresentation
bin100110101010010101…
…1000001000100001000
321221022011002000101200
41031110223001010020
52330013341110240
6102050252344200
75666302233336
oct1152453010410
9257264060350
1083024941320
1132235462292
1214110a75060
137aa1a3c919
1440387d4b56
15225dd3c930
hex1354ac1108

83024941320 has 96 divisors (see below), whose sum is σ = 269905633920. Its totient is φ = 22133865600.

The previous prime is 83024941313. The next prime is 83024941361. The reversal of 83024941320 is 2314942038.

83024941320 is a `hidden beast` number, since 8 + 30 + 2 + 494 + 132 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1356417 + ... + 1416303.

It is an arithmetic number, because the mean of its divisors is an integer number (2811517020).

Almost surely, 283024941320 is an apocalyptic number.

It is an amenable number.

83024941320 is an abundant number, since it is smaller than the sum of its proper divisors (186880692600).

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

83024941320 is a wasteful number, since it uses less digits than its factorization.

83024941320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63755 (or 63748 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 83024941320 in words is "eighty-three billion, twenty-four million, nine hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3851 7702 11553 15404 19255 23106 30808 34659 38510 46212 57765 59887 69318 77020 92424 115530 119774 138636 154040 173295 179661 231060 239548 277272 299435 346590 359322 462120 479096 538983 598870 693180 718644 898305 1077966 1197740 1386360 1437288 1796610 2155932 2395480 2694915 3593220 4311864 5389830 7186440 10779660 21559320 230624837 461249674 691874511 922499348 1153124185 1383749022 1844998696 2075623533 2306248370 2767498044 3459372555 4151247066 4612496740 5534996088 6918745110 8302494132 9224993480 10378117665 13837490220 16604988264 20756235330 27674980440 41512470660 83024941320