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16897789440 = 293257104773
BaseRepresentation
bin11111011110010111…
…11100111000000000
31121121122011122101100
433233023330320000
5234101313230230
611432430134400
71135512561150
oct175713747000
947548148340
1016897789440
1171913a8344
123337051400
131793a8769c
14b642b4760
1568d737660
hex3ef2fce00

16897789440 has 240 divisors, whose sum is σ = 66882692448. Its totient is φ = 3862315008.

The previous prime is 16897789423. The next prime is 16897789553. The reversal of 16897789440 is 4498779861.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 23 ways as a sum of consecutive naturals, for example, 108894 + ... + 213666.

Almost surely, 216897789440 is an apocalyptic number.

16897789440 is a gapful number since it is divisible by the number (10) 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 16897789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33441346224).

16897789440 is an abundant number, since it is smaller than the sum of its proper divisors (49984903008).

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

16897789440 is a wasteful number, since it uses less digits than its factorization.

16897789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104809 (or 104790 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 16897789440 in words is "sixteen billion, eight hundred ninety-seven million, seven hundred eighty-nine thousand, four hundred forty".