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21195328000 = 295371121723
BaseRepresentation
bin10011101111010101…
…110000101000000000
32000201010202020000011
4103233111300220000
5321402000444000
613423105234304
71350145213120
oct235725605000
960633666004
1021195328000
118a97234700
124136332994
131cca224702
141050d5ac80
15840b822ba
hex4ef570a00

21195328000 has 960 divisors, whose sum is σ = 73354305024. Its totient is φ = 5947392000.

The previous prime is 21195327971. The next prime is 21195328013. The reversal of 21195328000 is 82359112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 921535989 + ... + 921536011.

Almost surely, 221195328000 is an apocalyptic number.

21195328000 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 21195328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36677152512).

21195328000 is an abundant number, since it is smaller than the sum of its proper divisors (52158977024).

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

21195328000 is a wasteful number, since it uses less digits than its factorization.

21195328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 21195328000 in words is "twenty-one billion, one hundred ninety-five million, three hundred twenty-eight thousand".