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12053404944 = 24327213072
BaseRepresentation
bin10110011100111000…
…00101110100010000
31011010000121102011100
423032130011310100
5144141132424234
65312014144400
7604460152200
oct131634056420
934100542140
1012053404944
115125918599
1224047b2100
1311a1242999
14824b60400
154a82be399
hex2ce705d10

12053404944 has 135 divisors (see below), whose sum is σ = 39270233847. Its totient is φ = 3441195072.

The previous prime is 12053404933. The next prime is 12053404997. The reversal of 12053404944 is 44940435021.

The square root of 12053404944 is 109788.

It is a perfect power (a square), and thus also a powerful number.

12053404944 is a `hidden beast` number, since 1 + 205 + 3 + 404 + 9 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12053404899 and 12053404908.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9221539 + ... + 9222845.

Almost surely, 212053404944 is an apocalyptic number.

12053404944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12053404944 is the 109788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12053404944

12053404944 is an abundant number, since it is smaller than the sum of its proper divisors (27216828903).

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

12053404944 is an equidigital number, since it uses as much as digits as its factorization.

12053404944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 12053404944 by its sum of digits (36), we get a square (433922577984 = 6587282).

12053404944 divided by its sum of digits (36) gives a square (334816804 = 182982).

Adding to 12053404944 its reverse (44940435021), we get a palindrome (56993839965).

The spelling of 12053404944 in words is "twelve billion, fifty-three million, four hundred four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1307 1764 2352 2614 3528 3921 5228 7056 7842 9149 10456 11763 15684 18298 20912 23526 27447 31368 36596 47052 54894 62736 64043 73192 82341 94104 109788 128086 146384 164682 188208 192129 219576 256172 329364 384258 439152 512344 576387 658728 768516 1024688 1152774 1317456 1537032 1708249 2305548 3074064 3416498 4611096 5124747 6832996 9222192 10249494 11957743 13665992 15374241 20498988 23915486 27331984 30748482 35873229 40997976 47830972 61496964 71746458 81995952 83704201 95661944 107619687 122993928 143492916 167408402 191323888 215239374 245987856 251112603 286985832 334816804 430478748 502225206 573971664 669633608 753337809 860957496 1004450412 1339267216 1506675618 1721914992 2008900824 3013351236 4017801648 6026702472 12053404944