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16444723680 = 253657111831
BaseRepresentation
bin11110101000010111…
…01001000111100000
31120110001122112000000
433110023221013200
5232134322124210
611315443300000
71121341562550
oct172413510740
946401575000
1016444723680
116a79688330
12322b37a600
131720c56438
14b20059160
15663a90ac0
hex3d42e91e0

16444723680 has 672 divisors, whose sum is σ = 72662220288. Its totient is φ = 3415219200.

The previous prime is 16444723621. The next prime is 16444723693. The reversal of 16444723680 is 8632744461.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8980365 + ... + 8982195.

It is an arithmetic number, because the mean of its divisors is an integer number (108128304).

Almost surely, 216444723680 is an apocalyptic number.

16444723680 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 16444723680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36331110144).

16444723680 is an abundant number, since it is smaller than the sum of its proper divisors (56217496608).

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

16444723680 is a wasteful number, since it uses less digits than its factorization.

16444723680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 16444723680 in words is "sixteen billion, four hundred forty-four million, seven hundred twenty-three thousand, six hundred eighty".