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245337044640 = 25354715172019
BaseRepresentation
bin1110010001111100111…
…0100011011010100000
3212110020221221011212220
43210133032203122200
513004422240412030
6304412320151040
723503452320502
oct3443716433240
9773227834786
10245337044640
1195057402936
123b66aa68480
131a19accb6cc
14bc35407d72
1565ad78ca10
hex391f3a36a0

245337044640 has 192 divisors, whose sum is σ = 794492375040. Its totient is φ = 63606297600.

The previous prime is 245337044591. The next prime is 245337044647. The reversal of 245337044640 is 46440733542.

245337044640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 245337044592 and 245337044601.

It is not an unprimeable number, because it can be changed into a prime (245337044647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3370551 + ... + 3442569.

It is an arithmetic number, because the mean of its divisors is an integer number (4137981120).

Almost surely, 2245337044640 is an apocalyptic number.

245337044640 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 245337044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397246187520).

245337044640 is an abundant number, since it is smaller than the sum of its proper divisors (549155330400).

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

245337044640 is a wasteful number, since it uses less digits than its factorization.

245337044640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72235 (or 72227 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 42.

The spelling of 245337044640 in words is "two hundred forty-five billion, three hundred thirty-seven million, forty-four thousand, six hundred forty".