Search a number
-
+
56863491984 = 243213167181891
BaseRepresentation
bin110100111101010101…
…000000011110010000
312102202220200200121200
4310331111000132100
51412424023220414
642042301551200
74052062464315
oct647525003620
9172686620550
1056863491984
112212aa60182
12b02b575500
1354929bbba0
142a760b4d0c
15172c1e7109
hexd3d540790

56863491984 has 120 divisors (see below), whose sum is σ = 172407423552. Its totient is φ = 17391594240.

The previous prime is 56863491929. The next prime is 56863491989. The reversal of 56863491984 is 48919436865.

56863491984 is a `hidden beast` number, since 5 + 6 + 8 + 63 + 491 + 9 + 84 = 666.

It is a super-2 number, since 2×568634919842 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56863491989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221679 + ... + 403569.

Almost surely, 256863491984 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 56863491984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86203711776).

56863491984 is an abundant number, since it is smaller than the sum of its proper divisors (115543931568).

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

56863491984 is a wasteful number, since it uses less digits than its factorization.

56863491984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182085 (or 182076 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 56863491984 in words is "fifty-six billion, eight hundred sixty-three million, four hundred ninety-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 167 208 234 312 334 468 501 624 668 936 1002 1336 1503 1872 2004 2171 2672 3006 4008 4342 6012 6513 8016 8684 12024 13026 17368 19539 24048 26052 34736 39078 52104 78156 104208 156312 181891 312624 363782 545673 727564 1091346 1455128 1637019 2182692 2364583 2910256 3274038 4365384 4729166 6548076 7093749 8730768 9458332 13096152 14187498 18916664 21281247 26192304 28374996 30375797 37833328 42562494 56749992 60751594 85124988 91127391 113499984 121503188 170249976 182254782 243006376 273382173 340499952 364509564 394885361 486012752 546764346 729019128 789770722 1093528692 1184656083 1458038256 1579541444 2187057384 2369312166 3159082888 3553968249 4374114768 4738624332 6318165776 7107936498 9477248664 14215872996 18954497328 28431745992 56863491984