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5639511316512 = 253595333186701
BaseRepresentation
bin101001000010000110100…
…0100011001100000100000
3201222010120020111000200110
41102010031010121200200
51214344204344112022
615554431123251320
71121304230155563
oct122041504314040
921863506430613
105639511316512
111884781130a47
12770b84b19b40
1331ba5a781aa8
14156d4d34a4da
159ba6b1e600c
hex5210d119820

5639511316512 has 96 divisors (see below), whose sum is σ = 15057531236160. Its totient is φ = 1847619046400.

The previous prime is 5639511316487. The next prime is 5639511316519. The reversal of 5639511316512 is 2156131159365.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×56395113165122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5639511316519) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30112762 + ... + 30299462.

It is an arithmetic number, because the mean of its divisors is an integer number (156849283710).

Almost surely, 25639511316512 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 5639511316512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7528765618080).

5639511316512 is an abundant number, since it is smaller than the sum of its proper divisors (9418019919648).

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

5639511316512 is a wasteful number, since it uses less digits than its factorization.

5639511316512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192106 (or 192098 counting only the distinct ones).

The product of its digits is 729000, while the sum is 48.

The spelling of 5639511316512 in words is "five trillion, six hundred thirty-nine billion, five hundred eleven million, three hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5333 5664 10666 15999 21332 31998 42664 63996 85328 127992 170656 186701 255984 314647 373402 511968 560103 629294 746804 943941 1120206 1258588 1493608 1887882 2240412 2517176 2987216 3775764 4480824 5034352 5974432 7551528 8961648 10068704 11015359 15103056 17923296 22030718 30206112 33046077 44061436 66092154 88122872 132184308 176245744 264368616 352491488 528737232 995676433 1057474464 1991352866 2987029299 3982705732 5974058598 7965411464 11948117196 15930822928 23896234392 31861645856 47792468784 58744909547 95584937568 117489819094 176234728641 234979638188 352469457282 469959276376 704938914564 939918552752 1409877829128 1879837105504 2819755658256 5639511316512