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9819374112 = 253256959921
BaseRepresentation
bin10010010010100011…
…11100001000100000
3221100022212212222200
421021101330020200
5130102224432422
64302211133200
7465222205602
oct111121741040
927308785880
109819374112
114189865119
121aa05a4200
13c06457752
14692185172
153c70ce2ac
hex24947c220

9819374112 has 72 divisors (see below), whose sum is σ = 27973387260. Its totient is φ = 3267317760.

The previous prime is 9819374083. The next prime is 9819374119. The reversal of 9819374112 is 2114739189.

It can be written as a sum of positive squares in 2 ways, for example, as 9784375056 + 34999056 = 98916^2 + 5916^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×98193741123 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (9819374119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133912 + ... + 193832.

Almost surely, 29819374112 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 9819374112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13986693630).

9819374112 is an abundant number, since it is smaller than the sum of its proper divisors (18154013148).

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

9819374112 is a wasteful number, since it uses less digits than its factorization.

9819374112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60506 (or 60495 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 9819374112 is about 99092.7550933972. The cubic root of 9819374112 is about 2141.3842408245.

It can be divided in two parts, 981937 and 4112, that added together give a square (986049 = 9932).

The spelling of 9819374112 in words is "nine billion, eight hundred nineteen million, three hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 569 1138 1707 2276 3414 4552 5121 6828 9104 10242 13656 18208 20484 27312 40968 54624 59921 81936 119842 163872 179763 239684 359526 479368 539289 719052 958736 1078578 1438104 1917472 2157156 2876208 4314312 5752416 8628624 17257248 34095049 68190098 102285147 136380196 204570294 272760392 306855441 409140588 545520784 613710882 818281176 1091041568 1227421764 1636562352 2454843528 3273124704 4909687056 9819374112