Search a number
-
+
245061185280 = 28351719416179
BaseRepresentation
bin1110010000111011001…
…0001110111100000000
3212102112201212001222120
43210032302032330000
513003341130412110
6304325103404240
723463562464012
oct3441662167400
9772481761876
10245061185280
1194a2571769a
123b5b25b3680
131a155b03912
14bc0a91a1b2
15659444b870
hex390ec8ef00

245061185280 has 1152 divisors, whose sum is σ = 919741132800. Its totient is φ = 55207526400.

The previous prime is 245061185273. The next prime is 245061185309. The reversal of 245061185280 is 82581160542.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3102040281 + ... + 3102040359.

It is an arithmetic number, because the mean of its divisors is an integer number (798386400).

Almost surely, 2245061185280 is an apocalyptic number.

245061185280 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 245061185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459870566400).

245061185280 is an abundant number, since it is smaller than the sum of its proper divisors (674679947520).

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

245061185280 is a wasteful number, since it uses less digits than its factorization.

245061185280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 245061185280 in words is "two hundred forty-five billion, sixty-one million, one hundred eighty-five thousand, two hundred eighty".