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16842919680 = 28345162451
BaseRepresentation
bin11111010111110101…
…01000111100000000
31121110210220222020000
433223322220330000
5233443241412210
611423150120000
71134245312046
oct175372507400
947423828200
1016842919680
117163430934
1233207b0000
1317855b5882
14b5acb0396
156889e9ac0
hex3ebea8f00

16842919680 has 180 divisors, whose sum is σ = 60267417672. Its totient is φ = 4491417600.

The previous prime is 16842919673. The next prime is 16842919703. The reversal of 16842919680 is 8691924861.

It is a tau number, because it is divible by the number of its divisors (180).

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22455 + ... + 184905.

Almost surely, 216842919680 is an apocalyptic number.

16842919680 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 16842919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30133708836).

16842919680 is an abundant number, since it is smaller than the sum of its proper divisors (43424497992).

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

16842919680 is an equidigital number, since it uses as much as digits as its factorization.

16842919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162484 (or 162461 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 16842919680 in words is "sixteen billion, eight hundred forty-two million, nine hundred nineteen thousand, six hundred eighty".