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268281671125 = 5313421392153
BaseRepresentation
bin1111100111011011010…
…1010110110111010101
3221122111000021222021211
43321312311112313111
513343420101434000
6323125155141421
725245161402326
oct3716665266725
9848430258254
10268281671125
11a3861011366
1243bb2ba4871
131c3b6770680
14cdb080044d
156ea2cb07ba
hex3e76d56dd5

268281671125 has 32 divisors (see below), whose sum is σ = 361427949792. Its totient is φ = 197644608000.

The previous prime is 268281671123. The next prime is 268281671213. The reversal of 268281671125 is 521176182862.

It can be written as a sum of positive squares in 16 ways, for example, as 257071308484 + 11210362641 = 507022^2 + 105879^2 .

It is not a de Polignac number, because 268281671125 - 21 = 268281671123 is a prime.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268281671123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488049 + ... + 880201.

It is an arithmetic number, because the mean of its divisors is an integer number (11294623431).

Almost surely, 2268281671125 is an apocalyptic number.

268281671125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

268281671125 is a deficient number, since it is larger than the sum of its proper divisors (93146278667).

268281671125 is a wasteful number, since it uses less digits than its factorization.

268281671125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392602 (or 392592 counting only the distinct ones).

The product of its digits is 645120, while the sum is 49.

The spelling of 268281671125 in words is "two hundred sixty-eight billion, two hundred eighty-one million, six hundred seventy-one thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 421 1625 2105 5473 10525 27365 52625 136825 392153 684125 1960765 5097989 9803825 25489945 49019125 127449725 165096413 637248625 825482065 2146253369 4127410325 10731266845 20637051625 53656334225 268281671125