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6005661056616 = 23313293311211241
BaseRepresentation
bin101011101100100110101…
…0010110011111001101000
3210021010122211211000122210
41113121031102303321220
51241344043212302431
620434543531045120
71156615610462334
oct127311522637150
923233584730583
106005661056616
111a05a94110041
1280bb2b8a07a0
13347440144140
1416a9659ac7c4
15a634ae6cd46
hex5764d4b3e68

6005661056616 has 128 divisors (see below), whose sum is σ = 16276517187840. Its totient is φ = 1835658700800.

The previous prime is 6005661056611. The next prime is 6005661056657. The reversal of 6005661056616 is 6166501665006.

It is not an unprimeable number, because it can be changed into a prime (6005661056611) by changing a digit.

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, 28324756 + ... + 28535996.

It is an arithmetic number, because the mean of its divisors is an integer number (127160290530).

Almost surely, 26005661056616 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 6005661056616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8138258593920).

6005661056616 is an abundant number, since it is smaller than the sum of its proper divisors (10270856131224).

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

6005661056616 is a wasteful number, since it uses less digits than its factorization.

6005661056616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211867 (or 211863 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 6005661056616 in words is "six trillion, five billion, six hundred sixty-one million, fifty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 293 311 312 586 622 879 933 1172 1244 1758 1866 2344 2488 3516 3732 3809 4043 7032 7464 7618 8086 11427 12129 15236 16172 22854 24258 30472 32344 45708 48516 91123 91416 97032 182246 211241 273369 364492 422482 546738 633723 728984 844964 1093476 1184599 1267446 1689928 2186952 2369198 2534892 2746133 3553797 4738396 5069784 5492266 7107594 8238399 9476792 10984532 14215188 16476798 21969064 28430376 32953596 61893613 65695951 65907192 123787226 131391902 185680839 197087853 247574452 262783804 371361678 394175706 495148904 525567608 742723356 788351412 804616969 854047363 1485446712 1576702824 1609233938 1708094726 2413850907 2562142089 3218467876 3416189452 4827701814 5124284178 6436935752 6832378904 9655403628 10248568356 19248913643 19310807256 20497136712 38497827286 57746740929 76995654572 115493481858 153991309144 230986963716 250235877359 461973927432 500471754718 750707632077 1000943509436 1501415264154 2001887018872 3002830528308 6005661056616