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21326614400 = 275271373237
BaseRepresentation
bin10011110111001010…
…100100111110000000
32001001021210021002102
4103313022210332000
5322134103130100
613444115205532
71353331142240
oct236712447600
961037707072
1021326614400
119054355063
1241722a68a8
13201b4a0880
141064573b20
1584c466cd5
hex4f72a4f80

21326614400 has 192 divisors, whose sum is σ = 64841995680. Its totient is φ = 6749429760.

The previous prime is 21326614399. The next prime is 21326614423. The reversal of 21326614400 is 441662312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254582 + ... + 327818.

Almost surely, 221326614400 is an apocalyptic number.

21326614400 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 21326614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32420997840).

21326614400 is an abundant number, since it is smaller than the sum of its proper divisors (43515381280).

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

21326614400 is a wasteful number, since it uses less digits than its factorization.

21326614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73281 (or 73264 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 21326614400 in words is "twenty-one billion, three hundred twenty-six million, six hundred fourteen thousand, four hundred".