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9872381080 = 23523103104183
BaseRepresentation
bin10010011000111000…
…01001010010011000
3221111000121220212201
421030130021102120
5130204312143310
64311343215544
7466434566062
oct111434112230
927430556781
109872381080
11420677a031
121ab62a75b4
13c14426713
14699222732
153cba9ee3a
hex24c709498

9872381080 has 64 divisors (see below), whose sum is σ = 23403893760. Its totient is φ = 3740550528.

The previous prime is 9872381063. The next prime is 9872381089. The reversal of 9872381080 is 801832789.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 9872381080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9872381089) 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 15 ways as a sum of consecutive naturals, for example, 42669 + ... + 146851.

It is an arithmetic number, because the mean of its divisors is an integer number (365685840).

Almost surely, 29872381080 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 9872381080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11701946880).

9872381080 is an abundant number, since it is smaller than the sum of its proper divisors (13531512680).

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

9872381080 is a wasteful number, since it uses less digits than its factorization.

9872381080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104320 (or 104316 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 9872381080 is about 99359.8564813778. The cubic root of 9872381080 is about 2145.2305365280.

The spelling of 9872381080 in words is "nine billion, eight hundred seventy-two million, three hundred eighty-one thousand, eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 103 115 184 206 230 412 460 515 824 920 1030 2060 2369 4120 4738 9476 11845 18952 23690 47380 94760 104183 208366 416732 520915 833464 1041830 2083660 2396209 4167320 4792418 9584836 10730849 11981045 19169672 21461698 23962090 42923396 47924180 53654245 85846792 95848360 107308490 214616980 246809527 429233960 493619054 987238108 1234047635 1974476216 2468095270 4936190540 9872381080