Search a number
-
+
245004020245200 = 24352204170016871
BaseRepresentation
bin110111101101010001110001…
…100110000110001011010000
31012010111011012102110210221110
4313231101301212012023100
5224103121213140321300
62225025143150053320
7102414646006560126
oct6755216146061320
91163434172423843
10245004020245200
117107a692206677
122358b5067aa240
13a692a1a7aa1c8
144470387789916
151d4d1b4401550
hexded4719862d0

245004020245200 has 60 divisors (see below), whose sum is σ = 784829544855968. Its totient is φ = 65334405398400.

The previous prime is 245004020245121. The next prime is 245004020245207. The reversal of 245004020245200 is 2542020400542.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245004020245207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102085007236 + ... + 102085009635.

Almost surely, 2245004020245200 is an apocalyptic number.

245004020245200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245004020245200 is an abundant number, since it is smaller than the sum of its proper divisors (539825524610768).

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

245004020245200 is a wasteful number, since it uses less digits than its factorization.

245004020245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204170016892 (or 204170016881 counting only the distinct ones).

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

Adding to 245004020245200 its reverse (2542020400542), we get a palindrome (247546040645742).

The spelling of 245004020245200 in words is "two hundred forty-five trillion, four billion, twenty million, two hundred forty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 204170016871 408340033742 612510050613 816680067484 1020850084355 1225020101226 1633360134968 2041700168710 2450040202452 3062550253065 3266720269936 4083400337420 4900080404904 5104250421775 6125100506130 8166800674840 9800160809808 10208500843550 12250201012260 15312751265325 16333601349680 20417001687100 24500402024520 30625502530650 40834003374200 49000804049040 61251005061300 81668006748400 122502010122600 245004020245200