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135677891358 = 23223931538329
BaseRepresentation
bin111111001011100001…
…0000101001100011110
3110222012121220000022100
41332113002011030132
54210332020010413
6142155104025530
712542140022322
oct1762702051436
9428177800270
10135677891358
11525a46a5a29
12223663022a6
13ca43301669
1467d15cb982
1537e1571a73
hex1f9708531e

135677891358 has 24 divisors (see below), whose sum is σ = 295198768800. Its totient is φ = 45036732384.

The previous prime is 135677891339. The next prime is 135677891389. The reversal of 135677891358 is 853198776531.

135677891358 is a `hidden beast` number, since 1 + 3 + 567 + 7 + 8 + 9 + 13 + 58 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135677891295 and 135677891304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15764863 + ... + 15773466.

It is an arithmetic number, because the mean of its divisors is an integer number (12299948700).

Almost surely, 2135677891358 is an apocalyptic number.

135677891358 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

135677891358 is an abundant number, since it is smaller than the sum of its proper divisors (159520877442).

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

135677891358 is a wasteful number, since it uses less digits than its factorization.

135677891358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31538576 (or 31538573 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 63.

The spelling of 135677891358 in words is "one hundred thirty-five billion, six hundred seventy-seven million, eight hundred ninety-one thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 18 239 478 717 1434 2151 4302 31538329 63076658 94614987 189229974 283844961 567689922 7537660631 15075321262 22612981893 45225963786 67838945679 135677891358