Search a number
-
+
11427578900 = 2252114275789
BaseRepresentation
bin10101010010010001…
…10000010000010100
31002111102000011012222
422221020300100110
5141400430011100
65125540401512
7553120550363
oct125110602024
932442004188
1011427578900
114934630191
12226b0a6298
1311016a3c0a
147a59b37da
1546d39e485
hex2a9230414

11427578900 has 18 divisors (see below), whose sum is σ = 24797846430. Its totient is φ = 4571031520.

The previous prime is 11427578879. The next prime is 11427578923. The reversal of 11427578900 is 987572411.

It can be written as a sum of positive squares in 3 ways, for example, as 194546704 + 11233032196 = 13948^2 + 105986^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57137795 + ... + 57137994.

It is an arithmetic number, because the mean of its divisors is an integer number (1377658135).

Almost surely, 211427578900 is an apocalyptic number.

11427578900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11427578900 is an abundant number, since it is smaller than the sum of its proper divisors (13370267530).

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

11427578900 is a wasteful number, since it uses less digits than its factorization.

11427578900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114275803 (or 114275796 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 44.

The spelling of 11427578900 in words is "eleven billion, four hundred twenty-seven million, five hundred seventy-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 114275789 228551578 457103156 571378945 1142757890 2285515780 2856894725 5713789450 11427578900