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21296297088 = 2734112947137
BaseRepresentation
bin10011110101010110…
…111011010010000000
32000222011201222120000
4103311112323102000
5322103323001323
613441113320000
71352512352463
oct236526732200
960864658500
1021296297088
119039228230
124164106000
132015117331
1410605212da
15849978e43
hex4f55bb480

21296297088 has 640 divisors, whose sum is σ = 73578067200. Its totient is φ = 6053806080.

The previous prime is 21296297083. The next prime is 21296297101. The reversal of 21296297088 is 88079269212.

21296297088 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 629 + 7 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (21296297083) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 155447356 + ... + 155447492.

It is an arithmetic number, because the mean of its divisors is an integer number (114965730).

Almost surely, 221296297088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21296297088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36789033600).

21296297088 is an abundant number, since it is smaller than the sum of its proper divisors (52281770112).

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

21296297088 is a wasteful number, since it uses less digits than its factorization.

21296297088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 21296297088 in words is "twenty-one billion, two hundred ninety-six million, two hundred ninety-seven thousand, eighty-eight".