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16220445696 = 210347213307
BaseRepresentation
bin11110001101101000…
…00101110000000000
31112212102122000110000
433012310011300000
5231204413230241
611241312240000
71112646341100
oct170664056000
945772560400
1016220445696
116974022a24
123188240000
1316b664b780
14adc357200
1564e03ceb6
hex3c6d05c00

16220445696 has 660 divisors, whose sum is σ = 60877501608. Its totient is φ = 4263985152.

The previous prime is 16220445691. The next prime is 16220445697. The reversal of 16220445696 is 69654402261.

16220445696 is a `hidden beast` number, since 1 + 62 + 20 + 4 + 4 + 569 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16220445691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 52835175 + ... + 52835481.

Almost surely, 216220445696 is an apocalyptic number.

16220445696 is a gapful number since it is divisible by the number (16) 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 16220445696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30438750804).

16220445696 is an abundant number, since it is smaller than the sum of its proper divisors (44657055912).

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

16220445696 is a wasteful number, since it uses less digits than its factorization.

16220445696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 16220445696 in words is "sixteen billion, two hundred twenty million, four hundred forty-five thousand, six hundred ninety-six".