Search a number
-
+
245244520020 = 2235591071673877
BaseRepresentation
bin1110010001100110110…
…1100110011001010100
3212110000111211102222010
43210121231212121110
513004230044120040
6304355213104220
723501250011433
oct3443155463124
9773014742863
10245244520020
119500a157805
123b643a88070
131a184aa4606
14bc2700111a
1565a55b2e80
hex3919b66654

245244520020 has 192 divisors, whose sum is σ = 709253314560. Its totient is φ = 63291545088.

The previous prime is 245244520013. The next prime is 245244520021. The reversal of 245244520020 is 20025442542.

245244520020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 245244520020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245244520021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63254322 + ... + 63258198.

It is an arithmetic number, because the mean of its divisors is an integer number (3694027680).

Almost surely, 2245244520020 is an apocalyptic number.

245244520020 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 245244520020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354626657280).

245244520020 is an abundant number, since it is smaller than the sum of its proper divisors (464008794540).

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

245244520020 is a wasteful number, since it uses less digits than its factorization.

245244520020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 245244520020 its reverse (20025442542), we get a palindrome (265269962562).

The spelling of 245244520020 in words is "two hundred forty-five billion, two hundred forty-four million, five hundred twenty thousand, twenty".