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21212420592 = 24311314173433
BaseRepresentation
bin10011110000010110…
…111101100111110000
32000202022220121122010
4103300112331213300
5321420334424332
613424515442520
71350443412546
oct236026754760
960668817563
1021212420592
118aa5949610
12413bbb6440
13200092a67c
141053329d96
1584240b9cc
hex4f05bd9f0

21212420592 has 320 divisors, whose sum is σ = 64227889152. Its totient is φ = 5971968000.

The previous prime is 21212420573. The next prime is 21212420617. The reversal of 21212420592 is 29502421212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48989208 + ... + 48989640.

Almost surely, 221212420592 is an apocalyptic number.

21212420592 is a gapful number since it is divisible by the number (22) 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 21212420592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32113944576).

21212420592 is an abundant number, since it is smaller than the sum of its proper divisors (43015468560).

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

21212420592 is a wasteful number, since it uses less digits than its factorization.

21212420592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 21212420592 in words is "twenty-one billion, two hundred twelve million, four hundred twenty thousand, five hundred ninety-two".