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1268133858 = 232259127191
BaseRepresentation
bin100101110010110…
…0010111111100010
310021101012212121200
41023211202333202
510044120240413
6325500302030
743265650155
oct11345427742
93241185550
101268133858
115a0912812
122b4841916
1317295b784
14c05c7c9c
15764e8573
hex4b962fe2

1268133858 has 24 divisors (see below), whose sum is σ = 2748784896. Its totient is φ = 422532600.

The previous prime is 1268133851. The next prime is 1268133869. The reversal of 1268133858 is 8583318621.

1268133858 is a `hidden beast` number, since 1 + 268 + 1 + 3 + 385 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1268133851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33043 + ... + 60233.

It is an arithmetic number, because the mean of its divisors is an integer number (114532704).

Almost surely, 21268133858 is an apocalyptic number.

1268133858 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1268133858 is an abundant number, since it is smaller than the sum of its proper divisors (1480651038).

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

1268133858 is a wasteful number, since it uses less digits than its factorization.

1268133858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29790 (or 29787 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1268133858 is about 35610.8671335029. The cubic root of 1268133858 is about 1082.4014515232.

The spelling of 1268133858 in words is "one billion, two hundred sixty-eight million, one hundred thirty-three thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 9 18 2591 5182 7773 15546 23319 27191 46638 54382 81573 163146 244719 489438 70451881 140903762 211355643 422711286 634066929 1268133858