Search a number
-
+
9412201312 = 2523531012389
BaseRepresentation
bin10001100010000001…
…01100101101100000
3220021221201100220121
420301000230231200
5123234010420222
64153544050024
7452146251103
oct106100545540
926257640817
109412201312
113a9aa40178
1219a8163914
13b6cca43b7
1465407473a
153a14a05c7
hex23102cb60

9412201312 has 96 divisors (see below), whose sum is σ = 19904149440. Its totient is φ = 4370995200.

The previous prime is 9412201277. The next prime is 9412201313. The reversal of 9412201312 is 2131022149.

It is a super-2 number, since 2×94122013122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9412201313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3938614 + ... + 3941002.

It is an arithmetic number, because the mean of its divisors is an integer number (207334890).

Almost surely, 29412201312 is an apocalyptic number.

9412201312 is a gapful number since it is divisible by the number (92) 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 9412201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9952074720).

9412201312 is an abundant number, since it is smaller than the sum of its proper divisors (10491948128).

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

9412201312 is a wasteful number, since it uses less digits than its factorization.

9412201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 9412201312 is about 97016.5002048621. The cubic root of 9412201312 is about 2111.3670312963.

The spelling of 9412201312 in words is "nine billion, four hundred twelve million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 53 92 101 106 184 202 212 368 404 424 736 808 848 1219 1616 1696 2323 2389 2438 3232 4646 4778 4876 5353 9292 9556 9752 10706 18584 19112 19504 21412 37168 38224 39008 42824 54947 74336 76448 85648 109894 123119 126617 171296 219788 241289 246238 253234 439576 482578 492476 506468 879152 965156 984952 1012936 1758304 1930312 1969904 2025872 2912191 3860624 3939808 4051744 5549647 5824382 7721248 11099294 11648764 12788317 22198588 23297528 25576634 44397176 46595056 51153268 88794352 93190112 102306536 177588704 204613072 294131291 409226144 588262582 1176525164 2353050328 4706100656 9412201312