Search a number
-
+
86282374801338 = 23215199132033101
BaseRepresentation
bin10011100111100100101110…
…010011001110011110111010
3102022111111220001101202000200
4103213210232103032132322
542302122300422120323
6503301324211343030
724113460452623302
oct2347445623163672
9368444801352020
1086282374801338
1125546171220201
1298161288b1a76
13391b51564b181
141744136b80602
159e9608a5e443
hex4e792e4ce7ba

86282374801338 has 48 divisors (see below), whose sum is σ = 188373090826752. Its totient is φ = 28541492100000.

The previous prime is 86282374801321. The next prime is 86282374801339. The reversal of 86282374801338 is 83310847328268.

86282374801338 is a `hidden beast` number, since 8 + 6 + 2 + 82 + 37 + 480 + 13 + 38 = 666.

It is not an unprimeable number, because it can be changed into a prime (86282374801339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13323013 + ... + 18710088.

It is an arithmetic number, because the mean of its divisors is an integer number (3924439392224).

Almost surely, 286282374801338 is an apocalyptic number.

86282374801338 is an abundant number, since it is smaller than the sum of its proper divisors (102090716025414).

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

86282374801338 is a wasteful number, since it uses less digits than its factorization.

86282374801338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32034251 (or 32034248 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 86282374801338 in words is "eighty-six trillion, two hundred eighty-two billion, three hundred seventy-four million, eight hundred one thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 151 302 453 906 991 1359 1982 2718 2973 5946 8919 17838 149641 299282 448923 897846 1346769 2693538 32033101 64066202 96099303 192198606 288297909 576595818 4836998251 9673996502 14510994753 29021989506 31744803091 43532984259 63489606182 87065968518 95234409273 190468818546 285703227819 571406455638 4793465266741 9586930533482 14380395800223 28760791600446 43141187400669 86282374801338