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52014629025 = 325213712291373
BaseRepresentation
bin110000011100010100…
…000100000010100001
311222020222200221002200
4300130110010002201
51323011221112100
635521210003413
73520654023522
oct603424040241
9158228627080
1052014629025
11200719a1717
12a0b7716569
134b9c2698c8
142736116849
151546696e00
hexc1c5040a1

52014629025 has 72 divisors (see below), whose sum is σ = 93988772280. Its totient is φ = 27496197120.

The previous prime is 52014628997. The next prime is 52014629041. The reversal of 52014629025 is 52092641025.

52014629025 is a `hidden beast` number, since 5 + 2 + 0 + 1 + 4 + 629 + 0 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1734639201 + 50279989824 = 41649^2 + 224232^2 .

It is not a de Polignac number, because 52014629025 - 25 = 52014628993 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37883239 + ... + 37884611.

It is an arithmetic number, because the mean of its divisors is an integer number (1305399615).

Almost surely, 252014629025 is an apocalyptic number.

It is an amenable number.

52014629025 is a deficient number, since it is larger than the sum of its proper divisors (41974143255).

52014629025 is a wasteful number, since it uses less digits than its factorization.

52014629025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 52014629025 in words is "fifty-two billion, fourteen million, six hundred twenty-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 137 225 411 685 1229 1233 1373 2055 3425 3687 4119 6145 6165 6865 10275 11061 12357 18435 20595 30725 30825 34325 55305 61785 92175 102975 168373 188101 276525 308925 505119 564303 841865 940505 1515357 1687417 1692909 2525595 2821515 4209325 4702525 5062251 7576785 8437085 8464545 12627975 14107575 15186753 25311255 37883925 42185425 42322725 75933765 126556275 231176129 379668825 693528387 1155880645 2080585161 3467641935 5779403225 10402925805 17338209675 52014629025