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21423906000 = 2433537192157
BaseRepresentation
bin10011111100111101…
…101101110011010000
32001022001212012002000
4103330331231303100
5322334004443000
613501512354000
71355622124230
oct237475556320
961261765060
1021423906000
1190a4266742
12419a9a5900
1320356a6673
14107345bcc0
15855c84000
hex4fcf6dcd0

21423906000 has 960 divisors, whose sum is σ = 93157608960. Its totient is φ = 4609612800.

The previous prime is 21423905963. The next prime is 21423906001. The reversal of 21423906000 is 60932412.

21423906000 is a `hidden beast` number, since 21 + 4 + 2 + 39 + 0 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21423906001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 136457922 + ... + 136458078.

It is an arithmetic number, because the mean of its divisors is an integer number (97039176).

Almost surely, 221423906000 is an apocalyptic number.

21423906000 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 21423906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46578804480).

21423906000 is an abundant number, since it is smaller than the sum of its proper divisors (71733702960).

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

21423906000 is a wasteful number, since it uses less digits than its factorization.

21423906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 21423906000 in words is "twenty-one billion, four hundred twenty-three million, nine hundred six thousand".