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245054883840 = 2113513837393
BaseRepresentation
bin1110010000111001101…
…0001100100000000000
3212102112021222221000220
43210032122030200000
513003333022240330
6304324320343040
723463455100324
oct3441632144000
9772467887026
10245054883840
1194a22103298
123b5b0474a80
131a154708660
14bc09b59984
156593b04710
hex390e68c800

245054883840 has 384 divisors, whose sum is σ = 854578408320. Its totient is φ = 59586379776.

The previous prime is 245054883817. The next prime is 245054883847. The reversal of 245054883840 is 48388450542.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (245054883847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33143184 + ... + 33150576.

It is an arithmetic number, because the mean of its divisors is an integer number (2225464605).

Almost surely, 2245054883840 is an apocalyptic number.

245054883840 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 245054883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427289204160).

245054883840 is an abundant number, since it is smaller than the sum of its proper divisors (609523524480).

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

245054883840 is a wasteful number, since it uses less digits than its factorization.

245054883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7519 (or 7499 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 51.

The spelling of 245054883840 in words is "two hundred forty-five billion, fifty-four million, eight hundred eighty-three thousand, eight hundred forty".