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21493276800 = 2735217261127
BaseRepresentation
bin10100000001000110…
…010110000010000000
32001110220101120220220
4110001012112002000
5323004234324200
613512431303040
71360423560402
oct240106260200
961426346826
1021493276800
11912a437a86
1241ba07aa80
132046b84988
14107c758b72
1585bdd84a0
hex501196080

21493276800 has 576 divisors, whose sum is σ = 77037450240. Its totient is φ = 5264179200.

The previous prime is 21493276799. The next prime is 21493276823. The reversal of 21493276800 is 867239412.

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, 169238337 + ... + 169238463.

Almost surely, 221493276800 is an apocalyptic number.

21493276800 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 21493276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38518725120).

21493276800 is an abundant number, since it is smaller than the sum of its proper divisors (55544173440).

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

21493276800 is a wasteful number, since it uses less digits than its factorization.

21493276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 21493276800 in words is "twenty-one billion, four hundred ninety-three million, two hundred seventy-six thousand, eight hundred".