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4200552747225 = 335259276738119
BaseRepresentation
bin111101001000000100011…
…101000101000011011001
3112212120100202001212002000
4331020010131011003121
51022310213000402400
612533412435231213
7612323420143062
oct75100435050331
915776322055060
104200552747225
11137a498576a5a
1257a118748509
132461587aa673
141074449c7569
15743ecc16600
hex3d2047450d9

4200552747225 has 96 divisors (see below), whose sum is σ = 7850402304000. Its totient is φ = 2201470021440.

The previous prime is 4200552747211. The next prime is 4200552747263. The reversal of 4200552747225 is 5227472550024.

4200552747225 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 552 + 7 + 4 + 72 + 25 = 666.

It is not a de Polignac number, because 4200552747225 - 220 = 4200551698649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110176716 + ... + 110214834.

It is an arithmetic number, because the mean of its divisors is an integer number (81775024000).

Almost surely, 24200552747225 is an apocalyptic number.

4200552747225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4200552747225 is a deficient number, since it is larger than the sum of its proper divisors (3649849556775).

4200552747225 is a wasteful number, since it uses less digits than its factorization.

4200552747225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40964 (or 40953 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 45.

The spelling of 4200552747225 in words is "four trillion, two hundred billion, five hundred fifty-two million, seven hundred forty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 59 75 135 177 225 295 531 675 885 1475 1593 2655 2767 4425 7965 8301 13275 13835 24903 38119 39825 41505 69175 74709 114357 124515 163253 190595 207525 343071 373545 489759 571785 622575 816265 952975 1029213 1469277 1715355 1867725 2249021 2448795 2858925 4081325 4407831 5146065 6747063 7346385 8576775 11245105 12243975 20241189 22039155 25730325 33735315 36731925 56225525 60723567 101205945 105475273 110195775 168676575 303617835 316425819 506029725 527376365 949277457 1518089175 1582129095 2636881825 2847832371 4746387285 6223041107 7910645475 14239161855 18669123321 23731936425 31115205535 56007369963 71195809275 93345616605 155576027675 168022109889 280036849815 466728083025 840110549445 1400184249075 4200552747225