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16989315840 = 283857172
BaseRepresentation
bin11111101001010010…
…00110001100000000
31121212000101200000000
433310221012030000
5234243231101330
611445500000000
71141003542030
oct176451061400
947760350000
1016989315840
1172290314a2
123361830000
1317a9a22313
14b724db8c0
156967b6560
hex3f4a46300

16989315840 has 972 divisors, whose sum is σ = 74103674736. Its totient is φ = 3654844416.

The previous prime is 16989315829. The next prime is 16989315877. The reversal of 16989315840 is 4851398961.

It is a tau number, because it is divible by the number of its divisors (972).

It is a super-2 number, since 2×169893158402 (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 zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 999371512 + ... + 999371528.

Almost surely, 216989315840 is an apocalyptic number.

16989315840 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 16989315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37051837368).

16989315840 is an abundant number, since it is smaller than the sum of its proper divisors (57114358896).

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

16989315840 is an frugal number, since it uses more digits than its factorization.

16989315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 16989315840 in words is "sixteen billion, nine hundred eighty-nine million, three hundred fifteen thousand, eight hundred forty".