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4943361312 = 253413812
BaseRepresentation
bin1001001101010010…
…11011010100100000
3110202111210202220000
410212221123110200
540111000030222
62134305220000
7233333610051
oct44651332440
913674722800
104943361312
11210744257a
12b5b631600
1360a1ba886
1434c75a728
151ddeb99ac
hex126a5b520

4943361312 has 90 divisors (see below), whose sum is σ = 14548823289. Its totient is φ = 1646593920.

The previous prime is 4943361301. The next prime is 4943361317. The reversal of 4943361312 is 2131633494.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4943361312 is a `hidden beast` number, since 4 + 9 + 4 + 33 + 613 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4933095696 + 10265616 = 70236^2 + 3204^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=49716.

It is a super-2 number, since 2×49433613122 = 48873642121956722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4943361317) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3578862 + ... + 3580242.

Almost surely, 24943361312 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 4943361312

4943361312 is an abundant number, since it is smaller than the sum of its proper divisors (9605461977).

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

4943361312 is an frugal number, since it uses more digits than its factorization.

4943361312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 1386 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 4943361312 is about 70309.0414669408. The cubic root of 4943361312 is about 1703.4946924631.

The spelling of 4943361312 in words is "four billion, nine hundred forty-three million, three hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1381 2592 2762 4143 5524 8286 11048 12429 16572 22096 24858 33144 37287 44192 49716 66288 74574 99432 111861 132576 149148 198864 223722 298296 397728 447444 596592 894888 1193184 1789776 1907161 3579552 3814322 5721483 7628644 11442966 15257288 17164449 22885932 30514576 34328898 45771864 51493347 61029152 68657796 91543728 102986694 137315592 154480041 183087456 205973388 274631184 308960082 411946776 549262368 617920164 823893552 1235840328 1647787104 2471680656 4943361312