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56511050000 = 245510910369
BaseRepresentation
bin110100101000010100…
…100011000100010000
312101212100111210002212
4310220110203010100
51411213312100000
641543311531252
74040252666546
oct645024430420
9171770453085
1056511050000
1121a6a018309
12ab51529b28
13543798c332
142a4136dd96
15170b2c9c35
hexd28523110

56511050000 has 120 divisors (see below), whose sum is σ = 138122800200. Its totient is φ = 22394880000.

The previous prime is 56511049999. The next prime is 56511050009. The reversal of 56511050000 is 5011565.

It can be written as a sum of positive squares in 12 ways, for example, as 55484744704 + 1026305296 = 235552^2 + 32036^2 .

It is not an unprimeable number, because it can be changed into a prime (56511050009) 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, 5444816 + ... + 5455184.

It is an arithmetic number, because the mean of its divisors is an integer number (1151023335).

Almost surely, 256511050000 is an apocalyptic number.

56511050000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56511050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69061400100).

56511050000 is an abundant number, since it is smaller than the sum of its proper divisors (81611750200).

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

56511050000 is a wasteful number, since it uses less digits than its factorization.

56511050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10511 (or 10485 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 56511050000 its reverse (5011565), we get a palindrome (56516061565).

The spelling of 56511050000 in words is "fifty-six billion, five hundred eleven million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 109 125 200 218 250 400 436 500 545 625 872 1000 1090 1250 1744 2000 2180 2500 2725 3125 4360 5000 5450 6250 8720 10000 10369 10900 12500 13625 20738 21800 25000 27250 41476 43600 50000 51845 54500 68125 82952 103690 109000 136250 165904 207380 218000 259225 272500 340625 414760 518450 545000 681250 829520 1036900 1090000 1130221 1296125 1362500 2073800 2260442 2592250 2725000 4147600 4520884 5184500 5450000 5651105 6480625 9041768 10369000 11302210 12961250 18083536 20738000 22604420 25922500 28255525 32403125 45208840 51845000 56511050 64806250 90417680 103690000 113022100 129612500 141277625 226044200 259225000 282555250 452088400 518450000 565110500 706388125 1130221000 1412776250 2260442000 2825552500 3531940625 5651105000 7063881250 11302210000 14127762500 28255525000 56511050000