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253525703120 = 24515313206953
BaseRepresentation
bin1110110000011101001…
…1110011100111010000
3220020101122100010120022
43230013103303213100
513123210034444440
6312245035403012
724213413630414
oct3540723634720
9806348303508
10253525703120
1198579717188
12411752b3468
131aba4657761
14c3b0b80d44
1568dc601cb5
hex3b074f39d0

253525703120 has 40 divisors (see below), whose sum is σ = 589488601416. Its totient is φ = 101403168768.

The previous prime is 253525703113. The next prime is 253525703129. The reversal of 253525703120 is 21307525352.

It can be written as a sum of positive squares in 4 ways, for example, as 33553446976 + 219972256144 = 183176^2 + 469012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253525703129) 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, 1121564 + ... + 1328516.

Almost surely, 2253525703120 is an apocalyptic number.

253525703120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253525703120 is an abundant number, since it is smaller than the sum of its proper divisors (335962898296).

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

253525703120 is a wasteful number, since it uses less digits than its factorization.

253525703120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222279 (or 222273 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 35.

The spelling of 253525703120 in words is "two hundred fifty-three billion, five hundred twenty-five million, seven hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 15313 30626 61252 76565 122504 153130 206953 245008 306260 413906 612520 827812 1034765 1225040 1655624 2069530 3311248 4139060 8278120 16556240 3169071289 6338142578 12676285156 15845356445 25352570312 31690712890 50705140624 63381425780 126762851560 253525703120