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16942114560 = 28357319677
BaseRepresentation
bin11111100011101010…
…00010011100000000
31121201201120121000110
433301311002130000
5234144140131220
611441052151320
71136561412000
oct176165023400
947651517013
1016942114560
117204422478
123349a68540
1317a0006a77
14b6a132000
15692590be0
hex3f1d42700

16942114560 has 576 divisors, whose sum is σ = 66519936000. Its totient is φ = 3663249408.

The previous prime is 16942114531. The next prime is 16942114573. The reversal of 16942114560 is 6541124961.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25024942 + ... + 25025618.

It is an arithmetic number, because the mean of its divisors is an integer number (115486000).

Almost surely, 216942114560 is an apocalyptic number.

16942114560 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 16942114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33259968000).

16942114560 is an abundant number, since it is smaller than the sum of its proper divisors (49577821440).

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

16942114560 is an equidigital number, since it uses as much as digits as its factorization.

16942114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 16942114560 in words is "sixteen billion, nine hundred forty-two million, one hundred fourteen thousand, five hundred sixty".