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52323632325 = 32521737457809
BaseRepresentation
bin110000101110101110…
…110100010011000101
312000001112010220221100
4300232232310103011
51324124322213300
640012005010313
73531425352006
oct605656642305
9160045126840
1052323632325
1120210365448
12a1830b3999
134c1b29a6b3
1427651911ad
151563883700
hexc2ebb44c5

52323632325 has 144 divisors (see below), whose sum is σ = 102261378960. Its totient is φ = 25467125760.

The previous prime is 52323632299. The next prime is 52323632327.

52323632325 is a `hidden beast` number, since 5 + 2 + 323 + 6 + 3 + 2 + 325 = 666.

52323632325 is nontrivially palindromic in base 10.

52323632325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 900360036 + 51423272289 = 30006^2 + 226767^2 .

It is not a de Polignac number, because 52323632325 - 29 = 52323631813 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 52323632325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52323632327) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64676521 + ... + 64677329.

It is an arithmetic number, because the mean of its divisors is an integer number (710148465).

Almost surely, 252323632325 is an apocalyptic number.

It is an amenable number.

52323632325 is a deficient number, since it is larger than the sum of its proper divisors (49937746635).

52323632325 is a wasteful number, since it uses less digits than its factorization.

52323632325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1328 counting only the distinct ones).

The product of its digits is 194400, while the sum is 36.

The spelling of 52323632325 in words is "fifty-two billion, three hundred twenty-three million, six hundred thirty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 37 45 51 75 85 111 153 185 225 255 333 425 457 555 629 765 809 925 1275 1371 1665 1887 2285 2427 2775 3145 3825 4045 4113 5661 6855 7281 7769 8325 9435 11425 12135 13753 15725 16909 20225 20565 23307 28305 29933 34275 36405 38845 41259 47175 50727 60675 68765 69921 84545 89799 102825 116535 123777 141525 149665 152181 182025 194225 206295 253635 269397 287453 343825 349605 369713 422725 448995 508861 582675 618885 748325 760905 862359 1031475 1109139 1268175 1346985 1437265 1526583 1748025 1848565 2244975 2544305 2587077 3094425 3327417 3804525 4311795 4579749 5545695 6285121 6734925 7186325 7632915 9242825 12721525 12935385 13679381 16637085 18855363 21558975 22898745 27728475 31425605 38164575 41038143 56566089 64676925 68396905 83185425 94276815 114493725 123114429 157128025 205190715 232549477 282830445 341984525 471384075 615572145 697648431 1025953575 1162747385 1414152225 2092945293 3077860725 3488242155 5813736925 10464726465 17441210775 52323632325