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21250696032 = 253537233317
BaseRepresentation
bin10011110010101000…
…111110001101100000
32000211222221012200000
4103302220332031200
5322010134233112
613432404100000
71351416636006
oct236250761540
960758835600
1021250696032
119015511505
124150994600
13200883c267
141058450a76
1584596c7dc
hex4f2a3e360

21250696032 has 288 divisors, whose sum is σ = 64843807392. Its totient is φ = 6840889344.

The previous prime is 21250696021. The next prime is 21250696073. The reversal of 21250696032 is 23069605212.

21250696032 is a `hidden beast` number, since 21 + 25 + 0 + 6 + 9 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67036738 + ... + 67037054.

It is an arithmetic number, because the mean of its divisors is an integer number (225152109).

Almost surely, 221250696032 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 21250696032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32421903696).

21250696032 is an abundant number, since it is smaller than the sum of its proper divisors (43593111360).

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

21250696032 is a wasteful number, since it uses less digits than its factorization.

21250696032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 21250696032 in words is "twenty-one billion, two hundred fifty million, six hundred ninety-six thousand, thirty-two".