Search a number
-
+
13131095544 = 233378684587
BaseRepresentation
bin11000011101010110…
…01001110111111000
31020220010110202202000
430032223021313320
5203343030024134
610010552541000
7643254320250
oct141653116770
936803422660
1013131095544
115629185486
1226656b1760
1313135b2028
148c7d32960
1551cbe9e99
hex30eac9df8

13131095544 has 64 divisors (see below), whose sum is σ = 41686022400. Its totient is φ = 3751741152.

The previous prime is 13131095539. The next prime is 13131095561. The reversal of 13131095544 is 44559013131.

13131095544 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 109 + 5 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13131095499 and 13131095508.

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 15 ways as a sum of consecutive naturals, for example, 4340782 + ... + 4343805.

It is an arithmetic number, because the mean of its divisors is an integer number (651344100).

Almost surely, 213131095544 is an apocalyptic number.

13131095544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13131095544 is an abundant number, since it is smaller than the sum of its proper divisors (28554926856).

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

13131095544 is a wasteful number, since it uses less digits than its factorization.

13131095544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8684609 (or 8684599 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 13131095544 in words is "thirteen billion, one hundred thirty-one million, ninety-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 8684587 17369174 26053761 34738348 52107522 60792109 69476696 78161283 104215044 121584218 156322566 182376327 208430088 234483849 243168436 312645132 364752654 468967698 486336872 547128981 625290264 729505308 937935396 1094257962 1459010616 1641386943 1875870792 2188515924 3282773886 4377031848 6565547772 13131095544