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245031212304 = 243211315058457
BaseRepresentation
bin1110010000110011111…
…1111001010100010000
3212102110122110021210100
43210030333321110100
513003310442243204
6304322113132400
723463046640154
oct3441477712420
9772418407710
10245031212304
1194a0a80553a
123b5a455a100
131a14c83b028
14bc06957064
1565919caa39
hex390cff9510

245031212304 has 60 divisors (see below), whose sum is σ = 691815677436. Its totient is φ = 80954259456.

The previous prime is 245031212269. The next prime is 245031212329. The reversal of 245031212304 is 403212130542.

245031212304 is a `hidden beast` number, since 2 + 4 + 503 + 121 + 2 + 30 + 4 = 666.

245031212304 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 2 ways, for example, as 70681539600 + 174349672704 = 265860^2 + 417552^2 .

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 11 ways as a sum of consecutive naturals, for example, 7512957 + ... + 7545500.

Almost surely, 2245031212304 is an apocalyptic number.

245031212304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245031212304 is an abundant number, since it is smaller than the sum of its proper divisors (446784465132).

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

245031212304 is a wasteful number, since it uses less digits than its factorization.

245031212304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15058584 (or 15058575 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 245031212304 its reverse (403212130542), we get a palindrome (648243342846).

The spelling of 245031212304 in words is "two hundred forty-five billion, thirty-one million, two hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272 15058457 30116914 45175371 60233828 90350742 120467656 135526113 180701484 240935312 271052226 361402968 542104452 722805936 1084208904 1701605641 2168417808 3403211282 5104816923 6806422564 10209633846 13612845128 15314450769 20419267692 27225690256 30628901538 40838535384 61257803076 81677070768 122515606152 245031212304