Search a number
-
+
56551115550 = 235211310693121
BaseRepresentation
bin110100101010101101…
…011000101100011110
312101222010220022201010
4310222231120230132
51411304041144200
641551302400050
74041250356666
oct645255305436
9171863808633
1056551115550
1121a8a6a3136
12ab62a30026
135443079967
142a467dd1a6
15170ea91150
hexd2ab58b1e

56551115550 has 96 divisors (see below), whose sum is σ = 141665620320. Its totient is φ = 14928076800.

The previous prime is 56551115521. The next prime is 56551115561. The reversal of 56551115550 is 5551115565.

It is a junction number, because it is equal to n+sod(n) for n = 56551115499 and 56551115508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18117990 + ... + 18121110.

It is an arithmetic number, because the mean of its divisors is an integer number (1475683545).

Almost surely, 256551115550 is an apocalyptic number.

56551115550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56551115550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70832810160).

56551115550 is an abundant number, since it is smaller than the sum of its proper divisors (85114504770).

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

56551115550 is a wasteful number, since it uses less digits than its factorization.

56551115550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 39.

The spelling of 56551115550 in words is "fifty-six billion, five hundred fifty-one million, one hundred fifteen thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 113 150 226 339 565 678 1069 1130 1695 2138 2825 3121 3207 3390 5345 5650 6242 6414 8475 9363 10690 15605 16035 16950 18726 26725 31210 32070 46815 53450 78025 80175 93630 120797 156050 160350 234075 241594 352673 362391 468150 603985 705346 724782 1058019 1207970 1763365 1811955 2116038 3019925 3336349 3526730 3623910 5290095 6039850 6672698 8816825 9059775 10009047 10580190 16681745 17633650 18119550 20018094 26450475 33363490 50045235 52900950 83408725 100090470 166817450 250226175 377007437 500452350 754014874 1131022311 1885037185 2262044622 3770074370 5655111555 9425185925 11310223110 18850371850 28275557775 56551115550