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16055829504 = 21033111331131
BaseRepresentation
bin11101111010000000…
…01000010000000000
31112102221212122111000
432331000020100000
5230340243021004
611213112052000
71105610204361
oct167500102000
945387778430
1016055829504
11689a108390
123141094000
13168b502b40
14ac4545b68
1563e872c39
hex3bd008400

16055829504 has 704 divisors, whose sum is σ = 58104668160. Its totient is φ = 4313088000.

The previous prime is 16055829457. The next prime is 16055829511. The reversal of 16055829504 is 40592855061.

16055829504 is a `hidden beast` number, since 1 + 6 + 0 + 558 + 2 + 95 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×160558295042 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16055829504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122563519 + ... + 122563649.

It is an arithmetic number, because the mean of its divisors is an integer number (82535040).

Almost surely, 216055829504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16055829504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29052334080).

16055829504 is an abundant number, since it is smaller than the sum of its proper divisors (42048838656).

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

16055829504 is a wasteful number, since it uses less digits than its factorization.

16055829504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 16055829504 in words is "sixteen billion, fifty-five million, eight hundred twenty-nine thousand, five hundred four".