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13697849088 = 283471123373
BaseRepresentation
bin11001100000111010…
…01001011100000000
31022100121220211110000
430300131021130000
5211023122132323
610143120240000
7663305540040
oct146035113400
938317824400
1013697849088
11589a095840
1227a3470000
1313a3b3a061
1493d303720
1555284be43
hex330749700

13697849088 has 720 divisors, whose sum is σ = 53279525376. Its totient is φ = 3394068480.

The previous prime is 13697849071. The next prime is 13697849089. The reversal of 13697849088 is 88094879631.

13697849088 is a `hidden beast` number, since 1 + 3 + 69 + 7 + 8 + 490 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13697849089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36723270 + ... + 36723642.

Almost surely, 213697849088 is an apocalyptic number.

13697849088 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 13697849088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26639762688).

13697849088 is an abundant number, since it is smaller than the sum of its proper divisors (39581676288).

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

13697849088 is a wasteful number, since it uses less digits than its factorization.

13697849088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 13697849088 in words is "thirteen billion, six hundred ninety-seven million, eight hundred forty-nine thousand, eighty-eight".