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16898960016 = 24342321572
BaseRepresentation
bin11111011110100000…
…11010101010010000
31121121201101010010000
433233100122222100
5234102113210031
611432511210000
71135525535001
oct175720325220
947551333100
1016898960016
117192027864
123337516900
1317940a7433
14b644db1a8
1568d8b93e6
hex3ef41aa90

16898960016 has 225 divisors, whose sum is σ = 51457234521. Its totient is φ = 5353755264.

The previous prime is 16898959999. The next prime is 16898960021. The reversal of 16898960016 is 61006989861.

The square root of 16898960016 is 129996.

It is a perfect power (a square), and thus also a powerful number.

16898960016 is a `hidden beast` number, since 16 + 8 + 9 + 8 + 9 + 600 + 16 = 666.

16898960016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4953344400 + 11945615616 = 70380^2 + 109296^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 107636610 + ... + 107636766.

Almost surely, 216898960016 is an apocalyptic number.

16898960016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16898960016 is the 129996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16898960016

16898960016 is an abundant number, since it is smaller than the sum of its proper divisors (34558274505).

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

16898960016 is an equidigital number, since it uses as much as digits as its factorization.

16898960016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 16898960016 in words is "sixteen billion, eight hundred ninety-eight million, nine hundred sixty thousand, sixteen".