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16445311680 = 263571926779
BaseRepresentation
bin11110101000011011…
…11000101011000000
31120110002202101120210
433110031320223000
5232134444433210
611315504034120
71121346562050
oct172415705300
946402671523
1016445311680
116a79a4a086
12322b602940
131721100c75
14b2016d560
15663b59e20
hex3d4378ac0

16445311680 has 336 divisors, whose sum is σ = 62988261120. Its totient is φ = 3560564736.

The previous prime is 16445311669. The next prime is 16445311681. The reversal of 16445311680 is 8611354461.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (16445311681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2422531 + ... + 2429309.

Almost surely, 216445311680 is an apocalyptic number.

16445311680 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 16445311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31494130560).

16445311680 is an abundant number, since it is smaller than the sum of its proper divisors (46542949440).

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

16445311680 is a wasteful number, since it uses less digits than its factorization.

16445311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6844 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 16445311680 in words is "sixteen billion, four hundred forty-five million, three hundred eleven thousand, six hundred eighty".