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21366472400 = 2452713599949
BaseRepresentation
bin10011111001100010…
…100111111011010000
32001011001210020222122
4103321202213323100
5322224304104100
613452101353412
71354324006310
oct237142477320
961131706878
1021366472400
1190748a8a59
124183708868
1320268178a0
14106998b440
15850bdb985
hex4f98a7ed0

21366472400 has 240 divisors, whose sum is σ = 64256304000. Its totient is φ = 6646855680.

The previous prime is 21366472373. The next prime is 21366472441. The reversal of 21366472400 is 427466312.

It is a super-2 number, since 2×213664724002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 47 ways as a sum of consecutive naturals, for example, 2142626 + ... + 2152574.

It is an arithmetic number, because the mean of its divisors is an integer number (267734600).

Almost surely, 221366472400 is an apocalyptic number.

21366472400 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 21366472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32128152000).

21366472400 is an abundant number, since it is smaller than the sum of its proper divisors (42889831600).

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

21366472400 is a wasteful number, since it uses less digits than its factorization.

21366472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10046 (or 10035 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 21366472400 in words is "twenty-one billion, three hundred sixty-six million, four hundred seventy-two thousand, four hundred".