Search a number
-
+
42201204560 = 245527515057
BaseRepresentation
bin100111010011011000…
…110100011101010000
311000221002000022111022
4213103120310131100
51142412002021220
631215330135012
73022533214544
oct472330643520
9130832008438
1042201204560
1116996530669
128219121468
133c97116278
142084a7da24
15116ed90925
hex9d3634750

42201204560 has 20 divisors (see below), whose sum is σ = 98117800788. Its totient is φ = 16880481792.

The previous prime is 42201204559. The next prime is 42201204569. The reversal of 42201204560 is 6540210224.

It can be written as a sum of positive squares in 2 ways, for example, as 21346378816 + 20854825744 = 146104^2 + 144412^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42201204569) 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 3 ways as a sum of consecutive naturals, for example, 263757449 + ... + 263757608.

Almost surely, 242201204560 is an apocalyptic number.

42201204560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42201204560 is an abundant number, since it is smaller than the sum of its proper divisors (55916596228).

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

42201204560 is a wasteful number, since it uses less digits than its factorization.

42201204560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527515070 (or 527515064 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 42201204560 its reverse (6540210224), we get a palindrome (48741414784).

The spelling of 42201204560 in words is "forty-two billion, two hundred one million, two hundred four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 527515057 1055030114 2110060228 2637575285 4220120456 5275150570 8440240912 10550301140 21100602280 42201204560