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253334228058 = 23251749271969
BaseRepresentation
bin1110101111101111100…
…1011000110001011010
3220012220022001012011100
43223323321120301122
513122312030244213
6312214035412230
724205600260162
oct3537371306132
9805808035140
10253334228058
119849062712a
1241121154076
131ab73a967c2
14c39357b5a2
1568ca8cd773
hex3afbe58c5a

253334228058 has 24 divisors (see below), whose sum is σ = 548903452500. Its totient is φ = 84442800384.

The previous prime is 253334228053. The next prime is 253334228083. The reversal of 253334228058 is 850822433352.

253334228058 is a `hidden beast` number, since 2 + 533 + 3 + 42 + 28 + 0 + 58 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 253257543009 + 76685049 = 503247^2 + 8757^2 .

It is a super-3 number, since 3×2533342280583 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (253334228053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 795498 + ... + 1067466.

Almost surely, 2253334228058 is an apocalyptic number.

253334228058 is an abundant number, since it is smaller than the sum of its proper divisors (295569224442).

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

253334228058 is a wasteful number, since it uses less digits than its factorization.

253334228058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323726 (or 323723 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 253334228058 in words is "two hundred fifty-three billion, three hundred thirty-four million, two hundred twenty-eight thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 51749 103498 155247 271969 310494 465741 543938 815907 931482 1631814 2447721 4895442 14074123781 28148247562 42222371343 84444742686 126667114029 253334228058