Search a number
-
+
5643301577620 = 2257374339251081
BaseRepresentation
bin101001000011110111011…
…1111000110001110010100
3201222111100101112020110111
41102013232333012032110
51214424440200440440
620000255201532404
71121500162643530
oct122075677061624
921874311466414
105643301577620
111886346690243
12771862344104
1331c212ab9445
141571cc8a4bc0
159bbddd3b4ea
hex521eefc6394

5643301577620 has 96 divisors (see below), whose sum is σ = 13913236995840. Its totient is φ = 1882111749120.

The previous prime is 5643301577539. The next prime is 5643301577629. The reversal of 5643301577620 is 267751033465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5643301577629) 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, 22350480 + ... + 22601560.

It is an arithmetic number, because the mean of its divisors is an integer number (144929552040).

Almost surely, 25643301577620 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 5643301577620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6956618497920).

5643301577620 is an abundant number, since it is smaller than the sum of its proper divisors (8269935418220).

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

5643301577620 is a wasteful number, since it uses less digits than its factorization.

5643301577620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255473 (or 255471 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 49.

The spelling of 5643301577620 in words is "five trillion, six hundred forty-three billion, three hundred one million, five hundred seventy-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2590 4339 5180 8678 17356 21695 30373 43390 60746 86780 121492 151865 160543 251081 303730 321086 502162 607460 642172 802715 1004324 1123801 1255405 1605430 1757567 2247602 2510810 3210860 3515134 4495204 5021620 5619005 7030268 8787835 9289997 11238010 17575670 18579994 22476020 35151340 37159988 46449985 65029979 92899970 130059958 185799940 260119916 325149895 650299790 1089440459 1300599580 2178880918 4357761836 5447202295 7626083213 10894404590 15252166426 21788809180 30504332852 38130416065 40309296983 76260832130 80618593966 152521664260 161237187932 201546484915 282165078881 403092969830 564330157762 806185939660 1128660315524 1410825394405 2821650788810 5643301577620