Search a number
-
+
245064250450404 = 2232711953198746687
BaseRepresentation
bin110111101110001001110111…
…100110000110000111100100
31012010200220122222020020212100
4313232021313212012013210
5224110113041103403104
62225112543520252100
7102422210403064050
oct6756116746060744
91163626588206770
10245064250450404
11710a318a627270
122359b115771030
13a6985c8b38b98
14447325ca44c60
151d4ea3be78139
hexdee2779861e4

245064250450404 has 288 divisors, whose sum is σ = 773539775963136. Its totient is φ = 63552897354240.

The previous prime is 245064250450391. The next prime is 245064250450423. The reversal of 245064250450404 is 404054052460542.

245064250450404 is a `hidden beast` number, since 2 + 4 + 50 + 6 + 4 + 2 + 504 + 50 + 40 + 4 = 666.

It is a super-3 number, since 3×2450642504504043 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 245064250450404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5249066349 + ... + 5249113035.

It is an arithmetic number, because the mean of its divisors is an integer number (2685901999872).

Almost surely, 2245064250450404 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 245064250450404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386769887981568).

245064250450404 is an abundant number, since it is smaller than the sum of its proper divisors (528475525512732).

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

245064250450404 is a wasteful number, since it uses less digits than its factorization.

245064250450404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49655 (or 49650 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

The spelling of 245064250450404 in words is "two hundred forty-five trillion, sixty-four billion, two hundred fifty million, four hundred fifty thousand, four hundred four".