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21501532000 = 2553132171871
BaseRepresentation
bin10100000001100101…
…110101011101100000
32001111110220222221001
4110001211311131200
5323013343011000
613513324241344
71360554002134
oct240145653540
961443828831
1021501532000
119134066263
1242009a0254
1320487b5300
14107d8a73c4
1585c9b946a
hex501975760

21501532000 has 288 divisors, whose sum is σ = 60603064704. Its totient is φ = 7468032000.

The previous prime is 21501531971. The next prime is 21501532007. The reversal of 21501532000 is 23510512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21501532007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11491065 + ... + 11492935.

It is an arithmetic number, because the mean of its divisors is an integer number (210427308).

Almost surely, 221501532000 is an apocalyptic number.

21501532000 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 21501532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30301532352).

21501532000 is an abundant number, since it is smaller than the sum of its proper divisors (39101532704).

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

21501532000 is a wasteful number, since it uses less digits than its factorization.

21501532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The spelling of 21501532000 in words is "twenty-one billion, five hundred one million, five hundred thirty-two thousand".