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245054241214452 = 2232173111287509411
BaseRepresentation
bin110111101110000000100010…
…111111111000111111110100
31012010122221211102002101101200
4313232000202333320333310
5224104432041222330302
62225104210403452500
7102421404354014115
oct6756004277707764
91163587742071350
10245054241214452
1171099a1368413a
12235991a1687130
13a697692266867
14447298d59a20c
151d4e65339381c
hexdee022ff8ff4

245054241214452 has 72 divisors (see below), whose sum is σ = 657989410059072. Its totient is φ = 76632560083200.

The previous prime is 245054241214421. The next prime is 245054241214463. The reversal of 245054241214452 is 254412142450542.

245054241214452 is a `hidden beast` number, since 2 + 4 + 5 + 0 + 5 + 42 + 412 + 144 + 52 = 666.

It is a super-2 number, since 2×2450542412144522 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 245054241214398 and 245054241214407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643564374 + ... + 643945037.

It is an arithmetic number, because the mean of its divisors is an integer number (9138741806376).

Almost surely, 2245054241214452 is an apocalyptic number.

It is an amenable number.

245054241214452 is an abundant number, since it is smaller than the sum of its proper divisors (412935168844620).

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

245054241214452 is a wasteful number, since it uses less digits than its factorization.

245054241214452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287509749 (or 1287509744 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 45.

Adding to 245054241214452 its reverse (254412142450542), we get a palindrome (499466383664994).

The spelling of 245054241214452 in words is "two hundred forty-five trillion, fifty-four billion, two hundred forty-one million, two hundred fourteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 311 612 622 933 1244 1866 2799 3732 5287 5598 10574 11196 15861 21148 31722 47583 63444 95166 190332 1287509411 2575018822 3862528233 5150037644 7725056466 11587584699 15450112932 21887659987 23175169398 43775319974 46350338796 65662979961 87550639948 131325959922 196988939883 262651919844 393977879766 400415426821 787955759532 800830853642 1201246280463 1601661707284 2402492560926 3603738841389 4804985121852 6807062255957 7207477682778 13614124511914 14414955365556 20421186767871 27228249023828 40842373535742 61263560303613 81684747071484 122527120607226 245054241214452