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21986328757120 = 27573133128017
BaseRepresentation
bin1001111111111000101110…
…10100001100001110000000
32212211212120001110021000221
410333330113110030032000
510340211000130211440
6114432214024552424
74426313502622000
oct477742724141600
985755501407027
1021986328757120
117007393445792
122571121022714
13c363c0395380
14560203172000
15281daca1ed4a
hex13ff1750c380

21986328757120 has 768 divisors, whose sum is σ = 68217336432000. Its totient is φ = 6733009059840.

The previous prime is 21986328757103. The next prime is 21986328757121. The reversal of 21986328757120 is 2175782368912.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21986328757121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2742459352 + ... + 2742467368.

Almost surely, 221986328757120 is an apocalyptic number.

21986328757120 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 21986328757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34108668216000).

21986328757120 is an abundant number, since it is smaller than the sum of its proper divisors (46231007674880).

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

21986328757120 is an equidigital number, since it uses as much as digits as its factorization.

21986328757120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8132 (or 8075 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 61.

The spelling of 21986328757120 in words is "twenty-one trillion, nine hundred eighty-six billion, three hundred twenty-eight million, seven hundred fifty-seven thousand, one hundred twenty".