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14525252541 = 323758817417
BaseRepresentation
bin11011000011100010…
…11100001110111101
31101111021211021121100
431201301130032331
5214221431040131
610401154323313
71022643416022
oct154161341675
941437737540
1014525252541
116184143248
122994589539
1314a63960b7
149bb163549
155a02d87e6
hex361c5c3bd

14525252541 has 24 divisors (see below), whose sum is σ = 21554541944. Its totient is φ = 9418913280.

The previous prime is 14525252527. The next prime is 14525252543.

14525252541 is a `hidden beast` number, since 1 + 45 + 2 + 52 + 525 + 41 = 666.

14525252541 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 9924343641 + 4600908900 = 99621^2 + 67830^2 .

It is not a de Polignac number, because 14525252541 - 26 = 14525252477 is a prime.

It is a super-2 number, since 2×145252525412 (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14525252496 and 14525252505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14525252543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1954665 + ... + 1962081.

Almost surely, 214525252541 is an apocalyptic number.

It is an amenable number.

14525252541 is a deficient number, since it is larger than the sum of its proper divisors (7029289403).

14525252541 is a wasteful number, since it uses less digits than its factorization.

14525252541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13341 (or 13338 counting only the distinct ones).

The product of its digits is 80000, while the sum is 36.

The spelling of 14525252541 in words is "fourteen billion, five hundred twenty-five million, two hundred fifty-two thousand, five hundred forty-one".

Divisors: 1 3 9 37 111 333 5881 7417 17643 22251 52929 66753 217597 274429 652791 823287 1958373 2469861 43619377 130858131 392574393 1613916949 4841750847 14525252541