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245313032052 = 2231117659165887
BaseRepresentation
bin1110010001110111001…
…0111100111101110100
3212110012021202012210210
43210131302330331310
513004400114011202
6304410101345420
723503041240114
oct3443562747564
9773167665723
10245313032052
11950448a1920
123b662a08270
131a196041a8a
14bc32157044
1565ab5e7c6c
hex391dcbcf74

245313032052 has 96 divisors (see below), whose sum is σ = 662171811840. Its totient is φ = 69857912320.

The previous prime is 245313032051. The next prime is 245313032089. The reversal of 245313032052 is 250230313542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245313032051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1395853 + ... + 1561739.

It is an arithmetic number, because the mean of its divisors is an integer number (6897623040).

Almost surely, 2245313032052 is an apocalyptic number.

245313032052 is a gapful number since it is divisible by the number (22) 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 245313032052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331085905920).

245313032052 is an abundant number, since it is smaller than the sum of its proper divisors (416858779788).

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

245313032052 is a wasteful number, since it uses less digits than its factorization.

245313032052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166581 (or 166579 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 245313032052 its reverse (250230313542), we get a palindrome (495543345594).

The spelling of 245313032052 in words is "two hundred forty-five billion, three hundred thirteen million, thirty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 659 748 1122 1318 1977 2244 2636 3954 7249 7908 11203 14498 21747 22406 28996 33609 43494 44812 67218 86988 123233 134436 165887 246466 331774 369699 492932 497661 663548 739398 995322 1478796 1824757 1990644 2820079 3649514 5474271 5640158 7299028 8460237 10948542 11280316 16920474 21897084 31020869 33840948 62041738 93062607 109319533 124083476 186125214 218639066 327958599 372250428 437278132 655917198 1202514863 1311834396 1858432061 2405029726 3607544589 3716864122 4810059452 5575296183 7215089178 7433728244 11150592366 14430178356 20442752671 22301184732 40885505342 61328258013 81771010684 122656516026 245313032052