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16690544640 = 2153357311
BaseRepresentation
bin11111000101101010…
…11000000000000000
31121002012012111222000
433202311120000000
5233140234412030
611400104144000
71130415201000
oct174265300000
947065174860
1016690544640
117095417250
123299768000
13175cb64923
14b44968000
1567a44b860
hex3e2d58000

16690544640 has 1024 divisors, whose sum is σ = 75496320000. Its totient is φ = 3468165120.

The previous prime is 16690544569. The next prime is 16690544653. The reversal of 16690544640 is 4644509661.

It is a happy number.

16690544640 is a `hidden beast` number, since 1 + 6 + 69 + 0 + 544 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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 63 ways as a sum of consecutive naturals, for example, 1517322235 + ... + 1517322245.

It is an arithmetic number, because the mean of its divisors is an integer number (73726875).

Almost surely, 216690544640 is an apocalyptic number.

16690544640 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 16690544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37748160000).

16690544640 is an abundant number, since it is smaller than the sum of its proper divisors (58805775360).

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

16690544640 is an frugal number, since it uses more digits than its factorization.

16690544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 16690544640 in words is "sixteen billion, six hundred ninety million, five hundred forty-four thousand, six hundred forty".