Search a number
-
+
13525784055 = 335747929881
BaseRepresentation
bin11001001100011001…
…10001010111110111
31021220122011000121000
430212030301113313
5210200100042210
610114052254343
7656116160520
oct144614612767
937818130530
1013525784055
115810a52833
1227559113b3
1313772b3b24
14924513847
155426aeac0
hex3263315f7

13525784055 has 64 divisors (see below), whose sum is σ = 27539251200. Its totient is φ = 6170100480.

The previous prime is 13525784053. The next prime is 13525784101. The reversal of 13525784055 is 55048752531.

13525784055 is a `hidden beast` number, since 1 + 3 + 525 + 78 + 4 + 0 + 55 = 666.

It is not a de Polignac number, because 13525784055 - 21 = 13525784053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13525784055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13525784053) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 437715 + ... + 467595.

It is an arithmetic number, because the mean of its divisors is an integer number (430300800).

Almost surely, 213525784055 is an apocalyptic number.

13525784055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13525784055 is an abundant number, since it is smaller than the sum of its proper divisors (14013467145).

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

13525784055 is a wasteful number, since it uses less digits than its factorization.

13525784055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30381 (or 30375 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 13525784055 in words is "thirteen billion, five hundred twenty-five million, seven hundred eighty-four thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 479 945 1437 2395 3353 4311 7185 10059 12933 16765 21555 29881 30177 50295 64665 89643 90531 149405 150885 209167 268929 448215 452655 627501 806787 1045835 1344645 1882503 3137505 4033935 5647509 9412515 14312999 28237545 42938997 71564995 100190993 128816991 214694985 300572979 386450973 500954965 644084955 901718937 1502864895 1932254865 2705156811 4508594685 13525784055