Search a number
-
+
56701275200 = 265235438297
BaseRepresentation
bin110100110011101010…
…001100110001000000
312102100121110020000122
4310303222030301000
51412111011301300
642014225035412
74045052613143
oct646352146100
9172317406018
1056701275200
1122057434319
12aba5185b68
13546820341b
142a5c72a05a
15171cd52c85
hexd33a8cc40

56701275200 has 42 divisors (see below), whose sum is σ = 139520579226. Its totient is φ = 22680509440.

The previous prime is 56701275199. The next prime is 56701275203. The reversal of 56701275200 is 257210765.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9893087296 + 46808187904 = 99464^2 + 216352^2 .

It is a super-2 number, since 2×567012752002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56701275203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17717549 + ... + 17720748.

It is an arithmetic number, because the mean of its divisors is an integer number (3321918553).

Almost surely, 256701275200 is an apocalyptic number.

56701275200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56701275200 is an abundant number, since it is smaller than the sum of its proper divisors (82819304026).

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

56701275200 is a wasteful number, since it uses less digits than its factorization.

56701275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35438319 (or 35438304 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

Adding to 56701275200 its reverse (257210765), we get a palindrome (56958485965).

The spelling of 56701275200 in words is "fifty-six billion, seven hundred one million, two hundred seventy-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 35438297 70876594 141753188 177191485 283506376 354382970 567012752 708765940 885957425 1134025504 1417531880 1771914850 2268051008 2835063760 3543829700 5670127520 7087659400 11340255040 14175318800 28350637600 56701275200