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21198931200 = 28355243317
BaseRepresentation
bin10011101111100011…
…100000010100000000
32000201101112021200000
4103233203200110000
5321403411244300
613423314400000
71350220641066
oct235743402400
960641467600
1021198931200
118a99275857
124137590000
131ccabb6795
141051618036
15841144c00
hex4ef8e0500

21198931200 has 648 divisors, whose sum is σ = 80679607008. Its totient is φ = 5504163840.

The previous prime is 21198931153. The next prime is 21198931213. The reversal of 21198931200 is 213989112.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66873442 + ... + 66873758.

Almost surely, 221198931200 is an apocalyptic number.

21198931200 is a gapful number since it is divisible by the number (20) 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 21198931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40339803504).

21198931200 is an abundant number, since it is smaller than the sum of its proper divisors (59480675808).

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

21198931200 is an equidigital number, since it uses as much as digits as its factorization.

21198931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 21198931200 in words is "twenty-one billion, one hundred ninety-eight million, nine hundred thirty-one thousand, two hundred".