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21383465400 = 2336521167199
BaseRepresentation
bin10011111010100011…
…011100100110111000
32001012020202121000000
4103322203130212320
5322243131343100
613453505513000
71354621312503
oct237243344670
961166677000
1021383465400
119083455060
124189342760
13202a1b740b
14106bd3213a
15852446900
hex4fa8dc9b8

21383465400 has 672 divisors, whose sum is σ = 82945584000. Its totient is φ = 5080838400.

The previous prime is 21383465381. The next prime is 21383465413. The reversal of 21383465400 is 456438312.

21383465400 is a `hidden beast` number, since 213 + 8 + 34 + 6 + 5 + 400 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 107454501 + ... + 107454699.

Almost surely, 221383465400 is an apocalyptic number.

21383465400 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 21383465400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41472792000).

21383465400 is an abundant number, since it is smaller than the sum of its proper divisors (61562118600).

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

21383465400 is a wasteful number, since it uses less digits than its factorization.

21383465400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 21383465400 in words is "twenty-one billion, three hundred eighty-three million, four hundred sixty-five thousand, four hundred".