Search a number
-
+
245102116547600 = 245213412394810187
BaseRepresentation
bin110111101110101101001000…
…100101110010110000010000
31012010211112101220222022000122
4313232231020211302300100
5224111223113314010400
62225142205150205412
7102425020636435634
oct6756551045626020
91163745356868018
10245102116547600
1171108250aa0574
12235a6522ab3868
13a69c051a90060
144475011a5cdc4
151d50a0644c685
hexdeeb48972c10

245102116547600 has 240 divisors, whose sum is σ = 652339995068160. Its totient is φ = 87922503782400.

The previous prime is 245102116547539. The next prime is 245102116547647. The reversal of 245102116547600 is 6745611201542.

It is a super-2 number, since 2×2451021165476002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 48549707 + ... + 53359893.

It is an arithmetic number, because the mean of its divisors is an integer number (2718083312784).

Almost surely, 2245102116547600 is an apocalyptic number.

245102116547600 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 245102116547600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326169997534080).

245102116547600 is an abundant number, since it is smaller than the sum of its proper divisors (407237878520560).

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

245102116547600 is a wasteful number, since it uses less digits than its factorization.

245102116547600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810498 (or 4810487 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 245102116547600 in words is "two hundred forty-five trillion, one hundred two billion, one hundred sixteen million, five hundred forty-seven thousand, six hundred".