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16329517344 = 25327231163229
BaseRepresentation
bin11110011010101000…
…01010100100100000
31120011000212102121200
433031110022210200
5231420324023334
611300210121200
71115442415200
oct171524124440
946130772550
1016329517344
116a1a650088
1231b8880200
13170311a3ca
14b0ca2a400
156588d5799
hex3cd50a920

16329517344 has 432 divisors, whose sum is σ = 56348248320. Its totient is φ = 4467778560.

The previous prime is 16329517343. The next prime is 16329517381. The reversal of 16329517344 is 44371592361.

16329517344 is a `hidden beast` number, since 1 + 6 + 3 + 295 + 17 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16329517344.

It is not an unprimeable number, because it can be changed into a prime (16329517343) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71307822 + ... + 71308050.

It is an arithmetic number, because the mean of its divisors is an integer number (130435760).

Almost surely, 216329517344 is an apocalyptic number.

16329517344 is a gapful number since it is divisible by the number (14) 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 16329517344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28174124160).

16329517344 is an abundant number, since it is smaller than the sum of its proper divisors (40018730976).

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

16329517344 is a wasteful number, since it uses less digits than its factorization.

16329517344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 435 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 16329517344 in words is "sixteen billion, three hundred twenty-nine million, five hundred seventeen thousand, three hundred forty-four".