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52604213445 = 32572354113421
BaseRepresentation
bin110000111111011101…
…001001100011000101
312000210002002220212200
4300333131021203011
51330213134312240
640055510505113
73541403302530
oct607735114305
9160702086780
1052604213445
1120344786173
12a241065199
134c64459724
14279054ba17
15157d308930
hexc3f7498c5

52604213445 has 96 divisors (see below), whose sum is σ = 108946266624. Its totient is φ = 22957862400.

The previous prime is 52604213429. The next prime is 52604213509. The reversal of 52604213445 is 54431240625.

52604213445 is a `hidden beast` number, since 5 + 2 + 604 + 2 + 1 + 3 + 4 + 45 = 666.

It is not a de Polignac number, because 52604213445 - 24 = 52604213429 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3912835 + ... + 3926255.

It is an arithmetic number, because the mean of its divisors is an integer number (1134856944).

Almost surely, 252604213445 is an apocalyptic number.

It is an amenable number.

52604213445 is an abundant number, since it is smaller than the sum of its proper divisors (56342053179).

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

52604213445 is a wasteful number, since it uses less digits than its factorization.

52604213445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14003 (or 14000 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 52604213445 in words is "fifty-two billion, six hundred four million, two hundred thirteen thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 541 805 1035 1449 1623 2415 2705 3787 4869 7245 8115 11361 12443 13421 18935 24345 34083 37329 40263 56805 62215 67105 87101 93947 111987 120789 170415 186645 201315 261303 281841 308683 435505 469735 559935 603945 783909 845523 926049 1306515 1409205 1543415 2160781 2778147 3919545 4227615 4630245 6482343 7260761 10803905 13890735 19447029 21782283 32411715 36303805 50825327 65346849 97235145 108911415 152475981 166997503 254126635 326734245 457427943 500992509 762379905 834987515 1168982521 1502977527 2287139715 2504962545 3506947563 5844912605 7514887635 10520842689 17534737815 52604213445