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245470316256 = 2532111729732153
BaseRepresentation
bin1110010010011100101…
…0111100011011100000
3212110121020201002011200
43210213022330123200
513010210400110011
6304433440441200
723506661155464
oct3444712743340
9773536632150
10245470316256
1195115659870
123b6a7619200
131a1bc7c1359
14bc48dba4a4
1565ba315856
hex39272bc6e0

245470316256 has 576 divisors, whose sum is σ = 845933699520. Its totient is φ = 66638315520.

The previous prime is 245470316237. The next prime is 245470316261. The reversal of 245470316256 is 652613074542.

245470316256 is a `hidden beast` number, since 2 + 45 + 47 + 0 + 316 + 256 = 666.

245470316256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 114012076 + ... + 114014228.

It is an arithmetic number, because the mean of its divisors is an integer number (1468634895).

Almost surely, 2245470316256 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 245470316256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422966849760).

245470316256 is an abundant number, since it is smaller than the sum of its proper divisors (600463383264).

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

245470316256 is a wasteful number, since it uses less digits than its factorization.

245470316256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 245470316256 in words is "two hundred forty-five billion, four hundred seventy million, three hundred sixteen thousand, two hundred fifty-six".