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16314447492 = 2235722353281
BaseRepresentation
bin11110011000110101…
…01011011010000100
31120002222111210200000
433030122223122010
5231402444304432
611254511121300
71115200341600
oct171432533204
946088453600
1016314447492
116a12097962
1231b3813230
1316ccc72035
14b0aa26500
1565740a57c
hex3cc6ab684

16314447492 has 432 divisors, whose sum is σ = 53079691392. Its totient is φ = 4358914560.

The previous prime is 16314447467. The next prime is 16314447493. The reversal of 16314447492 is 29474441361.

16314447492 is a `hidden beast` number, since 1 + 631 + 4 + 4 + 4 + 7 + 4 + 9 + 2 = 666.

16314447492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×163144474922 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16314447493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58058392 + ... + 58058672.

It is an arithmetic number, because the mean of its divisors is an integer number (122869656).

Almost surely, 216314447492 is an apocalyptic number.

16314447492 is a gapful number since it is divisible by the number (12) 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 16314447492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26539845696).

16314447492 is an abundant number, since it is smaller than the sum of its proper divisors (36765243900).

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

16314447492 is a wasteful number, since it uses less digits than its factorization.

16314447492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 369 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 16314447492 in words is "sixteen billion, three hundred fourteen million, four hundred forty-seven thousand, four hundred ninety-two".