Search a number
-
+
620132133672 = 2332416116072143
BaseRepresentation
bin10010000011000101100…
…00010110101100101000
32012021200002000102001200
421001202300112230220
540130012311234142
61152515035444200
762542311110202
oct11014260265450
92167602012050
10620132133672
11219aa64715a7
12a0228bb6660
134662a819b3c
142202bd23772
15111e74d964c
hex9062c16b28

620132133672 has 192 divisors, whose sum is σ = 1750597954560. Its totient is φ = 198146995200.

The previous prime is 620132133671. The next prime is 620132133703. The reversal of 620132133672 is 276331231026.

620132133672 is a `hidden beast` number, since 620 + 1 + 3 + 21 + 3 + 3 + 6 + 7 + 2 = 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 (620132133671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289374633 + ... + 289376775.

It is an arithmetic number, because the mean of its divisors is an integer number (9117697680).

Almost surely, 2620132133672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 620132133672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875298977280).

620132133672 is an abundant number, since it is smaller than the sum of its proper divisors (1130465820888).

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

620132133672 is a wasteful number, since it uses less digits than its factorization.

620132133672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Adding to 620132133672 its reverse (276331231026), we get a palindrome (896463364698).

The spelling of 620132133672 in words is "six hundred twenty billion, one hundred thirty-two million, one hundred thirty-three thousand, six hundred seventy-two".