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52347308700736 = 2674184572
BaseRepresentation
bin10111110011100000011101…
…01111010111010001000000
320212100100112221121010221101
423321300032233113101000
523330124242011410421
6303200004401104144
714011653052240000
oct1371601657272100
9225310487533841
1052347308700736
1115752407085255
125a55313928054
13232943a0c759a
14ccd8a2320000
1560ba18779191
hex2f9c0ebd7440

52347308700736 has 105 divisors (see below), whose sum is σ = 121188827841189. Its totient is φ = 22433345367552.

The previous prime is 52347308700689. The next prime is 52347308700763. The reversal of 52347308700736 is 63700780374325.

It is a happy number.

The square root of 52347308700736 is 7235144.

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

52347308700736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 38676956046400 + 13670352654336 = 6219080^2 + 3697344^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2836167220 + ... + 2836185676.

Almost surely, 252347308700736 is an apocalyptic number.

52347308700736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

52347308700736 is the 7235144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52347308700736

52347308700736 is an abundant number, since it is smaller than the sum of its proper divisors (68841519140453).

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

52347308700736 is an frugal number, since it uses more digits than its factorization.

52347308700736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36954 (or 18466 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 55.

The spelling of 52347308700736 in words is "fifty-two trillion, three hundred forty-seven billion, three hundred eight million, seven hundred thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2401 2744 3136 4802 5488 9604 10976 18457 19208 21952 36914 38416 73828 76832 129199 147656 153664 258398 295312 516796 590624 904393 1033592 1181248 1808786 2067184 3617572 4134368 6330751 7235144 8268736 12661502 14470288 25323004 28940576 44315257 50646008 57881152 88630514 101292016 177261028 202584032 340660849 354522056 405168064 681321698 709044112 1362643396 1418088224 2384625943 2725286792 2836176448 4769251886 5450573584 9538503772 10901147168 16692381601 19077007544 21802294336 33384763202 38154015088 66769526404 76308030176 116846671207 133539052808 152616060352 233693342414 267078105616 467386684828 534156211232 817926698449 934773369656 1068312422464 1635853396898 1869546739312 3271706793796 3739093478624 6543413587592 7478186957248 13086827175184 26173654350368 52347308700736