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14682597048 = 233271012111367
BaseRepresentation
bin11011010110010011…
…01010011010111000
31101220020220012200200
431223021222122320
5220032221101143
610424535002200
71026564005250
oct155311523270
941806805620
1014682597048
116254a41529
122a19209360
1314ccb66c62
149d4000960
155ae0191d3
hex36b26a6b8

14682597048 has 192 divisors, whose sum is σ = 46147345920. Its totient is φ = 4130784000.

The previous prime is 14682597037. The next prime is 14682597067. The reversal of 14682597048 is 84079528641.

It is a happy number.

14682597048 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 2 + 597 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14682596985 and 14682597003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10740061 + ... + 10741427.

It is an arithmetic number, because the mean of its divisors is an integer number (240350760).

Almost surely, 214682597048 is an apocalyptic number.

14682597048 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 14682597048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23073672960).

14682597048 is an abundant number, since it is smaller than the sum of its proper divisors (31464748872).

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

14682597048 is a wasteful number, since it uses less digits than its factorization.

14682597048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 14682597048 in words is "fourteen billion, six hundred eighty-two million, five hundred ninety-seven thousand, forty-eight".