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52354445325 = 35271331247451
BaseRepresentation
bin110000110000100100…
…010111000000001101
312000010200010101102120
4300300210113000031
51324210214222300
640015025243153
73532251304560
oct606044270015
9160120111376
1052354445325
11202267a0736
12a1914934b9
134c24798740
1427692d24d7
15156641d3a0
hexc3091700d

52354445325 has 96 divisors (see below), whose sum is σ = 109971628032. Its totient is φ = 21379680000.

The previous prime is 52354445323. The next prime is 52354445347.

52354445325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52354445325 - 21 = 52354445323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52354445323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87850 + ... + 335300.

It is an arithmetic number, because the mean of its divisors is an integer number (1145537792).

Almost surely, 252354445325 is an apocalyptic number.

It is an amenable number.

52354445325 is an abundant number, since it is smaller than the sum of its proper divisors (57617182707).

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

52354445325 is a wasteful number, since it uses less digits than its factorization.

52354445325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247515 (or 247510 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 42.

The spelling of 52354445325 in words is "fifty-two billion, three hundred fifty-four million, four hundred forty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 31 35 39 65 75 91 93 105 155 175 195 217 273 325 403 455 465 525 651 775 975 1085 1209 1365 2015 2275 2325 2821 3255 5425 6045 6825 8463 10075 14105 16275 30225 42315 70525 211575 247451 742353 1237255 1732157 3216863 3711765 5196471 6186275 7670981 8660785 9650589 16084315 18558825 22518041 23012943 25982355 38354905 43303925 48252945 53696867 67554123 80421575 99722753 112590205 115064715 129911775 161090601 191774525 241264725 268484335 299168259 337770615 498613765 562951025 575323575 698059271 805453005 1342421675 1495841295 1688853075 2094177813 2493068825 3490296355 4027265025 7479206475 10470889065 17451481775 52354445325