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5505600040 = 235233358997
BaseRepresentation
bin1010010000010100…
…01100101000101000
3112012200202110102121
411020022030220220
542233413200130
62310152041024
7253301554033
oct51012145050
915180673377
105505600040
112375849886
121097993174
13699824905
143a32b401a
15223528d7a
hex14828ca28

5505600040 has 32 divisors (see below), whose sum is σ = 12393119880. Its totient is φ = 2201258752.

The previous prime is 5505600029. The next prime is 5505600053. The reversal of 5505600040 is 400065055.

It can be written as a sum of positive squares in 4 ways, for example, as 4116248964 + 1389351076 = 64158^2 + 37274^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5505599978 and 5505600014.

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 7 ways as a sum of consecutive naturals, for example, 63822 + ... + 122818.

Almost surely, 25505600040 is an apocalyptic number.

It is an amenable number.

5505600040 is an abundant number, since it is smaller than the sum of its proper divisors (6887519840).

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

5505600040 is a wasteful number, since it uses less digits than its factorization.

5505600040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61341 (or 61337 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 5505600040 is about 74199.7307272742. The cubic root of 5505600040 is about 1765.7730581414.

Adding to 5505600040 its reverse (400065055), we get a palindrome (5905665095).

The spelling of 5505600040 in words is "five billion, five hundred five million, six hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 2333 4666 9332 11665 18664 23330 46660 58997 93320 117994 235988 294985 471976 589970 1179940 2359880 137640001 275280002 550560004 688200005 1101120008 1376400010 2752800020 5505600040