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16999058160 = 2432577194691
BaseRepresentation
bin11111101010011100…
…10000101011110000
31121212200201121221200
433311032100223300
5234303224330120
611450444451200
71141152416220
oct176516205360
947780647850
1016999058160
117233585aa7
123364b49b00
1317aba537c6
14b73916080
1569758ce90
hex3f5390af0

16999058160 has 240 divisors, whose sum is σ = 65348674560. Its totient is φ = 3879267840.

The previous prime is 16999058143. The next prime is 16999058173. The reversal of 16999058160 is 6185099961.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 16999058097 and 16999058106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3621415 + ... + 3626105.

It is an arithmetic number, because the mean of its divisors is an integer number (272286144).

Almost surely, 216999058160 is an apocalyptic number.

16999058160 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 16999058160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32674337280).

16999058160 is an abundant number, since it is smaller than the sum of its proper divisors (48349616400).

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

16999058160 is a wasteful number, since it uses less digits than its factorization.

16999058160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

It can be divided in two parts, 169990 and 58160, that added together give a triangular number (228150 = T675).

The spelling of 16999058160 in words is "sixteen billion, nine hundred ninety-nine million, fifty-eight thousand, one hundred sixty".