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52351810641 = 32131726320669
BaseRepresentation
bin110000110000011010…
…010011110001010001
312000010111011112022200
4300300122103301101
51324204030420031
640014452553413
73532220022354
oct606032236121
9160114145280
1052351810641
1120225261209
12a190622869
134c24085460
142768c0829b
15156609c8e6
hexc30693c51

52351810641 has 24 divisors (see below), whose sum is σ = 86226514920. Its totient is φ = 30321409536.

The previous prime is 52351810639. The next prime is 52351810649. The reversal of 52351810641 is 14601815325.

52351810641 is a `hidden beast` number, since 5 + 2 + 3 + 5 + 1 + 8 + 1 + 0 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7864142400 + 44487668241 = 88680^2 + 210921^2 .

It is not a de Polignac number, because 52351810641 - 21 = 52351810639 is a prime.

It is a super-2 number, since 2×523518106412 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52351810596 and 52351810605.

It is not an unprimeable number, because it can be changed into a prime (52351810649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13158346 + ... + 13162323.

It is an arithmetic number, because the mean of its divisors is an integer number (3592771455).

Almost surely, 252351810641 is an apocalyptic number.

52351810641 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

52351810641 is a deficient number, since it is larger than the sum of its proper divisors (33874704279).

52351810641 is a wasteful number, since it uses less digits than its factorization.

52351810641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26320705 (or 26320702 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 52351810641 in words is "fifty-two billion, three hundred fifty-one million, eight hundred ten thousand, six hundred forty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 26320669 78962007 236886021 342168697 447451373 1026506091 1342354119 3079518273 4027062357 5816867849 17450603547 52351810641