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52134533543125 = 5411419103917419
BaseRepresentation
bin10111101101010100001000…
…10110100011010011010101
320211121000100021121012202101
423312222010112203103111
523313133011041340000
6302514135111042101
713660411225240345
oct1366520426432325
9224530307535671
1052134533543125
111568014a04a060
125a20031970331
13231235b17b267
14cc34796c0d25
156062139b7e6a
hex2f6a845a34d5

52134533543125 has 80 divisors (see below), whose sum is σ = 71312072832000. Its totient is φ = 37786957560000.

The previous prime is 52134533543089. The next prime is 52134533543189.

52134533543125 is nontrivially palindromic in base 10.

52134533543125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52134533543125 - 213 = 52134533534933 is a prime.

It is a congruent 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 79 ways as a sum of consecutive naturals, for example, 2992960666 + ... + 2992978084.

It is an arithmetic number, because the mean of its divisors is an integer number (891400910400).

Almost surely, 252134533543125 is an apocalyptic number.

52134533543125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52134533543125 is a deficient number, since it is larger than the sum of its proper divisors (19177539288875).

52134533543125 is a wasteful number, since it uses less digits than its factorization.

52134533543125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18908 (or 18893 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 46.

It can be divided in two parts, 5213453 and 3543125, that added together give a palindrome (8756578).

The spelling of 52134533543125 in words is "fifty-two trillion, one hundred thirty-four billion, five hundred thirty-three million, five hundred forty-three thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 125 275 419 625 1039 1375 2095 4609 5195 6875 10475 11429 17419 23045 25975 52375 57145 87095 115225 129875 191609 261875 285725 435341 435475 576125 649375 958045 1428625 2176705 2177375 2880625 4788751 4790225 7143125 7298561 10883525 10886875 18098341 23943755 23951125 36492805 54417625 80284171 90491705 119718775 119755625 182464025 199081751 272088125 401420855 452458525 598593875 912320125 995408755 2007104275 2262292625 2992969375 4561600625 4977043775 7583204879 10035521375 11311463125 24885218875 37916024395 50177606875 83415253669 124426094375 189580121975 417076268345 947900609875 2085381341725 4739503049375 10426906708625 52134533543125