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19998316800 = 283552711167
BaseRepresentation
bin10010100111111111…
…100001100100000000
31220121201100202100000
4102213333201210000
5311424032114200
613104225200000
71305401613420
oct224777414400
956551322300
1019998316800
11853258a450
123a61490000
131b69238767
14d79da8480
157c0a37300
hex4a7fe1900

19998316800 has 1296 divisors, whose sum is σ = 92996047872. Its totient is φ = 4130611200.

The previous prime is 19998316787. The next prime is 19998316823. The reversal of 19998316800 is 861389991.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119750317 + ... + 119750483.

Almost surely, 219998316800 is an apocalyptic number.

19998316800 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 19998316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46498023936).

19998316800 is an abundant number, since it is smaller than the sum of its proper divisors (72997731072).

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

19998316800 is a wasteful number, since it uses less digits than its factorization.

19998316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 19998316800 in words is "nineteen billion, nine hundred ninety-eight million, three hundred sixteen thousand, eight hundred".