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16680260447136 = 2533111317611011289
BaseRepresentation
bin1111001010111010110011…
…1111111010101110100000
32012001121200000211000112000
43302232230333322232200
54141242133133302021
655250450022204000
73341052255301266
oct362565477725640
965047600730460
1016680260447136
115351071194910
121a548b5583600
1393cc3220a250
14419486776436
151ddd5a011b26
hexf2bacffaba0

16680260447136 has 1536 divisors, whose sum is σ = 62167571020800. Its totient is φ = 4273274880000.

The previous prime is 16680260447129. The next prime is 16680260447203. The reversal of 16680260447136 is 63174406208661.

16680260447136 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 0 + 2 + 60 + 447 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12940465180 + ... + 12940466468.

It is an arithmetic number, because the mean of its divisors is an integer number (40473679050).

Almost surely, 216680260447136 is an apocalyptic number.

16680260447136 is a gapful number since it is divisible by the number (16) 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 16680260447136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31083785510400).

16680260447136 is an abundant number, since it is smaller than the sum of its proper divisors (45487310573664).

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

16680260447136 is a wasteful number, since it uses less digits than its factorization.

16680260447136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 16680260447136 in words is "sixteen trillion, six hundred eighty billion, two hundred sixty million, four hundred forty-seven thousand, one hundred thirty-six".