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16232398560 = 25325723141181
BaseRepresentation
bin11110001111000011…
…01011111011100000
31112220021010021200200
433013201223323200
5231220443223220
611242420345200
71113153053100
oct170741537340
945807107620
1016232398560
11697a847324
123190245200
1316b8c75181
14addb89200
156500ee890
hex3c786bee0

16232398560 has 864 divisors, whose sum is σ = 68514211584. Its totient is φ = 3483648000.

The previous prime is 16232398543. The next prime is 16232398579. The reversal of 16232398560 is 6589323261.

16232398560 is a `hidden beast` number, since 1 + 62 + 3 + 23 + 9 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89681670 + ... + 89681850.

It is an arithmetic number, because the mean of its divisors is an integer number (79298856).

Almost surely, 216232398560 is an apocalyptic number.

16232398560 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 16232398560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34257105792).

16232398560 is an abundant number, since it is smaller than the sum of its proper divisors (52281813024).

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

16232398560 is a wasteful number, since it uses less digits than its factorization.

16232398560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 16232398560 in words is "sixteen billion, two hundred thirty-two million, three hundred ninety-eight thousand, five hundred sixty".