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9872239104 = 293271321811
BaseRepresentation
bin10010011000110111…
…00110101000000000
3221111000100201010100
421030123212220000
5130204243122404
64311340202400
7466433435130
oct111433465000
927430321110
109872239104
1142066923a2
121ab6239400
13c143a6c00
146991c6ac0
153cba72d39
hex24c6e6a00

9872239104 has 360 divisors, whose sum is σ = 35279161632. Its totient is φ = 2602229760.

The previous prime is 9872239103. The next prime is 9872239123. The reversal of 9872239104 is 4019322789.

It is a super-2 number, since 2×98722391042 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9872239104.

It is not an unprimeable number, because it can be changed into a prime (9872239103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5450359 + ... + 5452169.

Almost surely, 29872239104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9872239104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17639580816).

9872239104 is an abundant number, since it is smaller than the sum of its proper divisors (25406922528).

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

9872239104 is a wasteful number, since it uses less digits than its factorization.

9872239104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9872239104 is about 99359.1420252812. The cubic root of 9872239104 is about 2145.2202528653.

The spelling of 9872239104 in words is "nine billion, eight hundred seventy-two million, two hundred thirty-nine thousand, one hundred four".