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13285476288 = 2632729113621
BaseRepresentation
bin11000101111110000…
…00100011111000000
31021021212222010022100
430113320010133000
5204202040220123
610034145510400
7650140454010
oct142770043700
937255863270
1013285476288
1156a8339a77
1226a9342400
131339585b96
1490063bc40
1552b542643
hex317e047c0

13285476288 has 168 divisors, whose sum is σ = 45021581280. Its totient is φ = 3664926720.

The previous prime is 13285476277. The next prime is 13285476289. The reversal of 13285476288 is 88267458231.

13285476288 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 5 + 4 + 7 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13285476289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60118 + ... + 173738.

Almost surely, 213285476288 is an apocalyptic number.

13285476288 is a gapful number since it is divisible by the number (18) 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 13285476288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22510790640).

13285476288 is an abundant number, since it is smaller than the sum of its proper divisors (31736104992).

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

13285476288 is a wasteful number, since it uses less digits than its factorization.

13285476288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113675 (or 113662 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 13285476288 in words is "thirteen billion, two hundred eighty-five million, four hundred seventy-six thousand, two hundred eighty-eight".