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133020540362504 = 233147731009154937
BaseRepresentation
bin11110001111101101000010…
…000011100101111100001000
3122102222122021011121002110202
4132033231002003211330020
5114413402031313100004
61150524443112431332
740006262665154414
oct3617550203457410
9572878234532422
10133020540362504
1139425770218303
1212b043319a8548
13592ba24707632
1424bc32b03bd44
15105a2821e5b1e
hex78fb420e5f08

133020540362504 has 128 divisors (see below), whose sum is σ = 266804723404800. Its totient is φ = 62070385950720.

The previous prime is 133020540362467. The next prime is 133020540362537. The reversal of 133020540362504 is 405263045020331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 858468524 + ... + 858623460.

It is an arithmetic number, because the mean of its divisors is an integer number (2084411901600).

Almost surely, 2133020540362504 is an apocalyptic number.

It is an amenable number.

133020540362504 is an abundant number, since it is smaller than the sum of its proper divisors (133784183042296).

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

133020540362504 is a wasteful number, since it uses less digits than its factorization.

133020540362504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156103 (or 156099 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

Adding to 133020540362504 its reverse (405263045020331), we get a palindrome (538283585382835).

The spelling of 133020540362504 in words is "one hundred thirty-three trillion, twenty billion, five hundred forty million, three hundred sixty-two thousand, five hundred four".

Divisors: 1 2 4 8 31 47 62 73 94 124 146 188 248 292 376 584 1009 1457 2018 2263 2914 3431 4036 4526 5828 6862 8072 9052 11656 13724 18104 27448 31279 47423 62558 73657 94846 106361 125116 147314 154937 189692 212722 250232 294628 309874 379384 425444 589256 619748 850888 1239496 1470113 2283367 2940226 3461879 4566734 4803047 5880452 6923758 7282039 9133468 9606094 11310401 11760904 13847516 14564078 18266936 19212188 22620802 27695032 29128156 38424376 45241604 58256312 90483208 107318249 156331433 214636498 225743209 312662866 350622431 429272996 451486418 531588847 625325732 701244862 858545992 902972836 1063177694 1250651464 1402489724 1805945672 2126355388 2804979448 4252710776 4846274423 7347577351 9692548846 11412194609 14695154702 16479254257 19385097692 22824389218 29390309404 32958508514 38770195384 45648778436 58780618808 65917017028 91297556872 131834034056 227774897881 353778032879 455549795762 536373146623 707556065758 911099591524 1072746293246 1415112131516 1822199183048 2145492586492 2830224263032 4290985172984 16627567545313 33255135090626 66510270181252 133020540362504