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253252144360 = 23519732138597
BaseRepresentation
bin1110101111011100000…
…0010000110011101000
3220012200120120220111101
43223313000100303220
513122130022104420
6312201544211144
724203552465125
oct3536700206350
9805616526441
10253252144360
1198449262466
12410b9769ab4
131ab5ca86b77
14c3866d174c
1568c35b760a
hex3af7010ce8

253252144360 has 32 divisors (see below), whose sum is σ = 572709816360. Its totient is φ = 100786637056.

The previous prime is 253252144357. The next prime is 253252144433. The reversal of 253252144360 is 63441252352.

253252144360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 250842708964 + 2409435396 = 500842^2 + 49086^2 .

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, 16061419 + ... + 16077178.

Almost surely, 2253252144360 is an apocalyptic number.

253252144360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253252144360 is an abundant number, since it is smaller than the sum of its proper divisors (319457672000).

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

253252144360 is a wasteful number, since it uses less digits than its factorization.

253252144360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32138805 (or 32138801 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 253252144360 in words is "two hundred fifty-three billion, two hundred fifty-two million, one hundred forty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 197 394 788 985 1576 1970 3940 7880 32138597 64277194 128554388 160692985 257108776 321385970 642771940 1285543880 6331303609 12662607218 25325214436 31656518045 50650428872 63313036090 126626072180 253252144360