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252105121344 = 2634727937181
BaseRepresentation
bin1110101011001010100…
…0101101111001000000
3220002201122021002201110
43222302220231321000
513112302402340334
6311452051403320
724133254113526
oct3526250557100
9802648232643
10252105121344
1197a0a85005a
1240a395b3540
131aa09250b1b
14c2b8232316
156857a43ae9
hex3ab2a2de40

252105121344 has 56 divisors (see below), whose sum is σ = 681220245888. Its totient is φ = 82247057920.

The previous prime is 252105121337. The next prime is 252105121361. The reversal of 252105121344 is 443121501252.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13959567 + ... + 13977614.

It is an arithmetic number, because the mean of its divisors is an integer number (12164647248).

Almost surely, 2252105121344 is an apocalyptic number.

252105121344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252105121344 is an abundant number, since it is smaller than the sum of its proper divisors (429115124544).

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

252105121344 is a wasteful number, since it uses less digits than its factorization.

252105121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27937243 (or 27937233 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 252105121344 its reverse (443121501252), we get a palindrome (695226622596).

The spelling of 252105121344 in words is "two hundred fifty-two billion, one hundred five million, one hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 9024 27937181 55874362 83811543 111748724 167623086 223497448 335246172 446994896 670492344 893989792 1313047507 1340984688 1787979584 2626095014 2681969376 3939142521 5252190028 5363938752 7878285042 10504380056 15756570084 21008760112 31513140168 42017520224 63026280336 84035040448 126052560672 252105121344