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136678311 = 327111671181
BaseRepresentation
bin10000010010110…
…00101110100111
3100112011222101200
420021120232213
5234442201221
621321253543
73246514020
oct1011305647
9315158350
10136678311
1170173490
12399342b3
1322416453
141421bc47
15beec426
hex8258ba7

136678311 has 48 divisors (see below), whose sum is σ = 247822848. Its totient is φ = 70516800.

The previous prime is 136678309. The next prime is 136678427. The reversal of 136678311 is 113876631.

136678311 is a nontrivial binomial coefficient, being equal to C(16534, 2).

It is not a de Polignac number, because 136678311 - 21 = 136678309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136678211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115141 + ... + 116321.

It is an arithmetic number, because the mean of its divisors is an integer number (5162976).

Almost surely, 2136678311 is an apocalyptic number.

136678311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136678311 is the 16533-rd triangular number and also the 8267-th hexagonal number.

136678311 is a deficient number, since it is larger than the sum of its proper divisors (111144537).

136678311 is a wasteful number, since it uses less digits than its factorization.

136678311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1369 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 136678311 is about 11690.9499614018. The cubic root of 136678311 is about 515.1098656484.

The spelling of 136678311 in words is "one hundred thirty-six million, six hundred seventy-eight thousand, three hundred eleven".

Divisors: 1 3 7 9 11 21 33 63 77 99 167 231 501 693 1169 1181 1503 1837 3507 3543 5511 8267 10521 10629 12859 12991 16533 24801 38577 38973 74403 90937 115731 116919 197227 272811 591681 818433 1380589 1775043 2169497 4141767 6508491 12425301 15186479 19525473 45559437 136678311