Search a number
-
+
55561604004 = 223244311173119
BaseRepresentation
bin110011101111101110…
…101100101110100100
312022102011221221001100
4303233232230232210
51402242232312004
641305154000100
74004603561454
oct635756545644
9168364857040
1055561604004
11216220934a5
12a927576030
13531607277a
142991221d64
1516a2c82739
hexcefbacba4

55561604004 has 72 divisors (see below), whose sum is σ = 140935616640. Its totient is φ = 18456265152.

The previous prime is 55561603963. The next prime is 55561604027. The reversal of 55561604004 is 40040616555.

55561604004 is a `hidden beast` number, since 5 + 556 + 1 + 60 + 40 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55561604004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17812357 + ... + 17815475.

It is an arithmetic number, because the mean of its divisors is an integer number (1957439120).

Almost surely, 255561604004 is an apocalyptic number.

It is an amenable number.

55561604004 is an abundant number, since it is smaller than the sum of its proper divisors (85374012636).

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

55561604004 is a wasteful number, since it uses less digits than its factorization.

55561604004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4689 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

It can be divided in two parts, 5556160 and 4004, that added together give a square (5560164 = 23582).

The spelling of 55561604004 in words is "fifty-five billion, five hundred sixty-one million, six hundred four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 443 886 1117 1329 1772 2234 2658 3119 3351 3987 4468 5316 6238 6702 7974 9357 10053 12476 13404 15948 18714 20106 28071 37428 40212 56142 112284 494831 989662 1381717 1484493 1979324 2763434 2968986 3483923 4145151 4453479 5526868 5937972 6967846 8290302 8906958 10451769 12435453 13935692 16580604 17813916 20903538 24870906 31355307 41807076 49741812 62710614 125421228 1543377889 3086755778 4630133667 6173511556 9260267334 13890401001 18520534668 27780802002 55561604004