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245304401300 = 225271471238229
BaseRepresentation
bin1110010001110101001…
…0000001110110010100
3212110011200111201122022
43210131102001312110
513004340411320200
6304405152352312
723502605002430
oct3443522016624
9773150451568
10245304401300
119503aa37472
123b65bb45698
131a19430c51a
14bc30d4b9c0
1565aa990885
hex391d481d94

245304401300 has 72 divisors (see below), whose sum is σ = 608771036160. Its totient is φ = 84046838400.

The previous prime is 245304401261. The next prime is 245304401333. The reversal of 245304401300 is 3104403542.

It is a self number, because there is not a number n which added to its sum of digits gives 245304401300.

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 23 ways as a sum of consecutive naturals, for example, 910586 + ... + 1148814.

It is an arithmetic number, because the mean of its divisors is an integer number (8455153280).

Almost surely, 2245304401300 is an apocalyptic number.

245304401300 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 245304401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304385518080).

245304401300 is an abundant number, since it is smaller than the sum of its proper divisors (363466634860).

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

245304401300 is a wasteful number, since it uses less digits than its factorization.

245304401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239721 (or 239714 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 245304401300 its reverse (3104403542), we get a palindrome (248408804842).

The spelling of 245304401300 in words is "two hundred forty-five billion, three hundred four million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1471 2942 5884 7355 10297 14710 20594 29420 36775 41188 51485 73550 102970 147100 205940 238229 257425 476458 514850 952916 1029700 1191145 1667603 2382290 3335206 4764580 5955725 6670412 8338015 11911450 16676030 23822900 33352060 41690075 83380150 166760300 350434859 700869718 1401739436 1752174295 2453044013 3504348590 4906088026 7008697180 8760871475 9812176052 12265220065 17521742950 24530440130 35043485900 49060880260 61326100325 122652200650 245304401300