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52141414125 = 3531013893539
BaseRepresentation
bin110000100011110111…
…101101011011101101
311222120211021021120010
4300203313231123231
51323241200223000
635541535243433
73524053464423
oct604367553355
9158524237503
1052141414125
1120127518199
12a132079579
134bbc5cac88
142748cbb113
15155288cd50
hexc23ded6ed

52141414125 has 64 divisors (see below), whose sum is σ = 87872428800. Its totient is φ = 27454880000.

The previous prime is 52141414121. The next prime is 52141414139.

52141414125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52141414125 - 22 = 52141414121 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 52141414092 and 52141414101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52141414121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14731606 + ... + 14735144.

It is an arithmetic number, because the mean of its divisors is an integer number (1373006700).

Almost surely, 252141414125 is an apocalyptic number.

It is an amenable number.

52141414125 is a deficient number, since it is larger than the sum of its proper divisors (35731014675).

52141414125 is a wasteful number, since it uses less digits than its factorization.

52141414125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4047 (or 4037 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The spelling of 52141414125 in words is "fifty-two billion, one hundred forty-one million, four hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 101 125 303 375 389 505 1167 1515 1945 2525 3539 5835 7575 9725 10617 12625 17695 29175 37875 39289 48625 53085 88475 117867 145875 196445 265425 357439 442375 589335 982225 1072317 1327125 1376671 1787195 2946675 4130013 4911125 5361585 6883355 8935975 14733375 20650065 26807925 34416775 44679875 103250325 134039625 139043771 172083875 417131313 516251625 695218855 2085656565 3476094275 10428282825 17380471375 52141414125