Search a number
-
+
48555255584 = 2511215183047
BaseRepresentation
bin101101001110000111…
…100110011100100000
311122022220021112212102
4231032013212130200
51243420121134314
634150031345532
73336146601623
oct551607463440
9148286245772
1048555255584
11196571a3200
1294b10822a8
13476a656084
1424c88d1dba
1513e2b125de
hexb4e1e6720

48555255584 has 72 divisors (see below), whose sum is σ = 105770597184. Its totient is φ = 21924144000.

The previous prime is 48555255563. The next prime is 48555255589.

48555255584 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×485552555842 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48555255589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 543149 + ... + 626195.

It is an arithmetic number, because the mean of its divisors is an integer number (1469036072).

Almost surely, 248555255584 is an apocalyptic number.

48555255584 is a gapful number since it is divisible by the number (44) 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 48555255584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52885298592).

48555255584 is an abundant number, since it is smaller than the sum of its proper divisors (57215341600).

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

48555255584 is a wasteful number, since it uses less digits than its factorization.

48555255584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83230 (or 83211 counting only the distinct ones).

The product of its digits is 32000000, while the sum is 56.

The spelling of 48555255584 in words is "forty-eight billion, five hundred fifty-five million, two hundred fifty-five thousand, five hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 151 176 242 302 352 484 604 968 1208 1661 1936 2416 3322 3872 4832 6644 13288 18271 26576 36542 53152 73084 83047 146168 166094 292336 332188 584672 664376 913517 1328752 1827034 2657504 3654068 7308136 10048687 12540097 14616272 20097374 25080194 29232544 40194748 50160388 80389496 100320776 137941067 160778992 200641552 275882134 321557984 401283104 551764268 1103528536 1517351737 2207057072 3034703474 4414114144 6069406948 12138813896 24277627792 48555255584