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245031212320 = 2556125105657
BaseRepresentation
bin1110010000110011111…
…1111001010100100000
3212102110122110021210221
43210030333321110200
513003310442243240
6304322113132424
723463046640206
oct3441477712440
9772418407727
10245031212320
1194a0a805554
123b5a455a114
131a14c83b03b
14bc06957076
1565919caa4a
hex390cff9520

245031212320 has 48 divisors (see below), whose sum is σ = 588376200888. Its totient is φ = 96405719040.

The previous prime is 245031212269. The next prime is 245031212329. The reversal of 245031212320 is 23212130542.

245031212320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 63647216656 + 181383995664 = 252284^2 + 425892^2 .

It is a super-2 number, since 2×2450312123202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (245031212329) 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 7 ways as a sum of consecutive naturals, for example, 12543069 + ... + 12562588.

Almost surely, 2245031212320 is an apocalyptic number.

245031212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245031212320 is an abundant number, since it is smaller than the sum of its proper divisors (343344988568).

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

245031212320 is a wasteful number, since it uses less digits than its factorization.

245031212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25105733 (or 25105725 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 245031212320 its reverse (23212130542), we get a palindrome (268243342862).

The spelling of 245031212320 in words is "two hundred forty-five billion, thirty-one million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 25105657 50211314 100422628 125528285 200845256 251056570 401690512 502113140 803381024 1004226280 1531445077 2008452560 3062890154 4016905120 6125780308 7657225385 12251560616 15314450770 24503121232 30628901540 49006242464 61257803080 122515606160 245031212320