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16466620896 = 25351133743
BaseRepresentation
bin11110101010111110…
…01011000111100000
31120111120212000100000
433111133023013200
5232210423332041
611321544500000
71122025653045
oct172537130740
946446760300
1016466620896
116a8aa84000
12323677a600
13172565227b
14b22d191cc
15665968bb6
hex3d57cb1e0

16466620896 has 576 divisors, whose sum is σ = 56133133056. Its totient is φ = 4742115840.

The previous prime is 16466620837. The next prime is 16466620913. The reversal of 16466620896 is 69802666461.

It is a super-2 number, since 2×164666208962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 382944651 + ... + 382944693.

It is an arithmetic number, because the mean of its divisors is an integer number (97453356).

Almost surely, 216466620896 is an apocalyptic number.

16466620896 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 16466620896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28066566528).

16466620896 is an abundant number, since it is smaller than the sum of its proper divisors (39666512160).

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

16466620896 is an equidigital number, since it uses as much as digits as its factorization.

16466620896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 16466620896 in words is "sixteen billion, four hundred sixty-six million, six hundred twenty thousand, eight hundred ninety-six".