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16718929920 = 2133257111931
BaseRepresentation
bin11111001001000011…
…01010000000000000
31121011011121122020200
433210201222000000
5233220021224140
611403000405200
71131211362630
oct174441520000
947134548220
1016718929920
1170aa444560
1232a7176800
1317659c2954
14b486366c0
1567cba7030
hex3e486a000

16718929920 has 1344 divisors, whose sum is σ = 78512578560. Its totient is φ = 3185049600.

The previous prime is 16718929879. The next prime is 16718929921. The reversal of 16718929920 is 2992981761.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (16718929921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 539320305 + ... + 539320335.

Almost surely, 216718929920 is an apocalyptic number.

16718929920 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 16718929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39256289280).

16718929920 is an abundant number, since it is smaller than the sum of its proper divisors (61793648640).

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

16718929920 is a wasteful number, since it uses less digits than its factorization.

16718929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 16718929920 in words is "sixteen billion, seven hundred eighteen million, nine hundred twenty-nine thousand, nine hundred twenty".