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13171724020 = 22571329479521
BaseRepresentation
bin11000100010001100…
…01000111011110100
31020222221220220112101
430101012020323310
5203433430132040
610015003431444
7644256543520
oct142106107364
936887826471
1013171724020
11564a105234
122677225584
13131bb38950
148cd4aad80
1552157309a
hex311188ef4

13171724020 has 192 divisors, whose sum is σ = 35359027200. Its totient is φ = 4008775680.

The previous prime is 13171723987. The next prime is 13171724029. The reversal of 13171724020 is 2042717131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 13171724020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13171724029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25281360 + ... + 25281880.

It is an arithmetic number, because the mean of its divisors is an integer number (184161600).

Almost surely, 213171724020 is an apocalyptic number.

13171724020 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 13171724020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17679513600).

13171724020 is an abundant number, since it is smaller than the sum of its proper divisors (22187303180).

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

13171724020 is a wasteful number, since it uses less digits than its factorization.

13171724020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The spelling of 13171724020 in words is "thirteen billion, one hundred seventy-one million, seven hundred twenty-four thousand, twenty".