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252723069312 = 273794018999
BaseRepresentation
bin1110101101011101111…
…0000000000110000000
3220011022201001002222020
43223113132000012000
513120034101204222
6312033244241440
724154466434230
oct3532736000600
9804281032866
10252723069312
11981a764755a
1240b90540280
131aaa7291acc
14c33632bcc0
156891e0965c
hex3ad7780180

252723069312 has 64 divisors (see below), whose sum is σ = 767195040000. Its totient is φ = 72206590464.

The previous prime is 252723069311. The next prime is 252723069337. The reversal of 252723069312 is 213960327252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252723069311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47006812 + ... + 47012187.

It is an arithmetic number, because the mean of its divisors is an integer number (11987422500).

Almost surely, 2252723069312 is an apocalyptic number.

It is an amenable number.

252723069312 is an abundant number, since it is smaller than the sum of its proper divisors (514471970688).

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

252723069312 is an equidigital number, since it uses as much as digits as its factorization.

252723069312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94019023 (or 94019011 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 252723069312 in words is "two hundred fifty-two billion, seven hundred twenty-three million, sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 94018999 188037998 282056997 376075996 564113994 658132993 752151992 1128227988 1316265986 1504303984 1974398979 2256455976 2632531972 3008607968 3948797958 4512911952 5265063944 6017215936 7897595916 9025823904 10530127888 12034431872 15795191832 18051647808 21060255776 31590383664 36103295616 42120511552 63180767328 84241023104 126361534656 252723069312