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13291528140 = 2234511267807
BaseRepresentation
bin11000110000011110…
…01001111111001100
31021022022100120220000
430120033021333030
5204210112400030
610034523324300
7650243060622
oct143017117714
937268316800
1013291528140
1157007a2900
1226ab380690
13133a8c4667
14901375512
1552bd3a860
hex3183c9fcc

13291528140 has 180 divisors, whose sum is σ = 45831834048. Its totient is φ = 3222141120.

The previous prime is 13291528127. The next prime is 13291528141. The reversal of 13291528140 is 4182519231.

13291528140 is a `hidden beast` number, since 1 + 3 + 2 + 91 + 528 + 1 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 = 13291528095 and 13291528104.

It is not an unprimeable number, because it can be changed into a prime (13291528141) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 162117 + ... + 229923.

Almost surely, 213291528140 is an apocalyptic number.

13291528140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13291528140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22915917024).

13291528140 is an abundant number, since it is smaller than the sum of its proper divisors (32540305908).

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

13291528140 is a wasteful number, since it uses less digits than its factorization.

13291528140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67850 (or 67828 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 13291528140 in words is "thirteen billion, two hundred ninety-one million, five hundred twenty-eight thousand, one hundred forty".