Search a number
-
+
202049425260 = 2232523613792111
BaseRepresentation
bin1011110000101100010…
…1011000111101101100
3201022112011122021102200
42330023011120331230
511302244123102020
6232453100221500
720411654530524
oct2741305307554
9638464567380
10202049425260
11787636a6791
12331a9b3a890
131608cab0147
149aca364684
1553c834b590
hex2f0b158f6c

202049425260 has 288 divisors, whose sum is σ = 652038266880. Its totient is φ = 50534668800.

The previous prime is 202049425241. The next prime is 202049425261. The reversal of 202049425260 is 62524940202.

It is a happy number.

202049425260 is a `hidden beast` number, since 2 + 0 + 204 + 9 + 425 + 26 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (202049425261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95711605 + ... + 95713715.

It is an arithmetic number, because the mean of its divisors is an integer number (2264021760).

Almost surely, 2202049425260 is an apocalyptic number.

202049425260 is a gapful number since it is divisible by the number (20) 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 202049425260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326019133440).

202049425260 is an abundant number, since it is smaller than the sum of its proper divisors (449988841620).

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

202049425260 is a wasteful number, since it uses less digits than its factorization.

202049425260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 202049425260 in words is "two hundred two billion, forty-nine million, four hundred twenty-five thousand, two hundred sixty".