Search a number
-
+
675083620016 = 241377314992801
BaseRepresentation
bin10011101001011100001…
…11101000111010110000
32101112111201221011000122
421310232013220322300
542030032401320031
61234043520505412
766526126043201
oct11645607507260
92345451834018
10675083620016
11240335116623
12aaa0417b268
134b877360730
14249620c75a8
151286190147b
hex9d2e1e8eb0

675083620016 has 80 divisors (see below), whose sum is σ = 1411854948000. Its totient is φ = 310855372800.

The previous prime is 675083620007. The next prime is 675083620021. The reversal of 675083620016 is 610026380576.

675083620016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241013816 + ... + 241016616.

It is an arithmetic number, because the mean of its divisors is an integer number (17648186850).

Almost surely, 2675083620016 is an apocalyptic number.

It is an amenable number.

675083620016 is an abundant number, since it is smaller than the sum of its proper divisors (736771327984).

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

675083620016 is a wasteful number, since it uses less digits than its factorization.

675083620016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5094 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 675083620016 in words is "six hundred seventy-five billion, eighty-three million, six hundred twenty thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 773 1499 1546 2801 2998 3092 5602 5996 6184 10049 11204 11992 12368 19487 20098 22408 23984 36413 38974 40196 44816 72826 77948 80392 145652 155896 160784 291304 311792 582608 1158727 2165173 2317454 4198699 4330346 4634908 8397398 8660692 9269816 15063451 16794796 17321384 18539632 28147249 30126902 33589592 34642768 54583087 56294498 60253804 67179184 109166174 112588996 120507608 218332348 225177992 241015216 436664696 450355984 873329392 3245594327 6491188654 12982377308 25964754616 42192726251 51929509232 84385452502 168770905004 337541810008 675083620016