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245343314112552 = 23339601118305247
BaseRepresentation
bin110111110010001101110001…
…000101011111000000101000
31012011200120222101202010022000
4313302031301011133000220
5224124201101403100202
62225445055035131000
7102451320016060515
oct6762156105370050
91164616871663260
10245343314112552
11711a0573803007
12236252175a3a60
13a6b8a102b27a6
1444829733a630c
151d56e215b291c
hexdf237115f028

245343314112552 has 64 divisors (see below), whose sum is σ = 681580194777600. Its totient is φ = 81772586035200.

The previous prime is 245343314112541. The next prime is 245343314112563. The reversal of 245343314112552 is 255211413343542.

245343314112552 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 43 + 3 + 1 + 41 + 12 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (245343314112541) and next prime (245343314112563).

It is a junction number, because it is equal to n+sod(n) for n = 245343314112498 and 245343314112507.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 57078808 + ... + 61226439.

It is an arithmetic number, because the mean of its divisors is an integer number (10649690543400).

Almost surely, 2245343314112552 is an apocalyptic number.

It is an amenable number.

245343314112552 is an abundant number, since it is smaller than the sum of its proper divisors (436236880665048).

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

245343314112552 is a wasteful number, since it uses less digits than its factorization.

245343314112552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118314863 (or 118314853 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 245343314112552 in words is "two hundred forty-five trillion, three hundred forty-three billion, three hundred fourteen million, one hundred twelve thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 9601 19202 28803 38404 57606 76808 86409 115212 172818 230424 259227 345636 518454 691272 1036908 2073816 118305247 236610494 354915741 473220988 709831482 946441976 1064747223 1419662964 2129494446 2839325928 3194241669 4258988892 6388483338 8517977784 12776966676 25553933352 1135848676447 2271697352894 3407546029341 4543394705788 6815092058682 9086789411576 10222638088023 13630184117364 20445276176046 27260368234728 30667914264069 40890552352092 61335828528138 81781104704184 122671657056276 245343314112552