Search a number
-
+
27866666872 = 2311256351133
BaseRepresentation
bin11001111100111110…
…111001011101111000
32122221002001100111001
4121330332321131320
5424032331314442
620445103214344
72004363521512
oct317476713570
978832040431
1027866666872
1110900009300
1254985a73b4
1328214060c5
1414c4da2bb2
15ad16ca2b7
hex67cfb9778

27866666872 has 48 divisors (see below), whose sum is σ = 57534954120. Its totient is φ = 12643920960.

The previous prime is 27866666857. The next prime is 27866666879.

27866666872 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×278666668722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27866666879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519418 + ... + 570550.

Almost surely, 227866666872 is an apocalyptic number.

27866666872 is a gapful number since it is divisible by the number (22) 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 27866666872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28767477060).

27866666872 is an abundant number, since it is smaller than the sum of its proper divisors (29668287248).

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

27866666872 is a wasteful number, since it uses less digits than its factorization.

27866666872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51724 (or 51709 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 64.

The spelling of 27866666872 in words is "twenty-seven billion, eight hundred sixty-six million, six hundred sixty-six thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 563 968 1126 2252 4504 6193 12386 24772 49544 51133 68123 102266 136246 204532 272492 409064 544984 562463 1124926 2249852 4499704 6187093 12374186 24748372 28787879 49496744 57575758 115151516 230303032 316666669 633333338 1266666676 2533333352 3483333359 6966666718 13933333436 27866666872