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5431456541345 = 5194773137121633
BaseRepresentation
bin100111100001001110000…
…0010011010101010100001
3201020020112112201100212212
41033002130002122222201
51202442110333310340
615315102055331505
71100260361565212
oct117023402325241
921206475640785
105431456541345
11180451668aa6a
1273879b980b95
13305251781a83
1414ac535c3409
1596440a56a65
hex4f09c09aaa1

5431456541345 has 64 divisors (see below), whose sum is σ = 7154648110080. Its totient is φ = 3944660041728.

The previous prime is 5431456541341. The next prime is 5431456541347.

5431456541345 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 5431456541345 - 22 = 5431456541341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5431456541293 and 5431456541302.

It is not an unprimeable number, because it can be changed into a prime (5431456541341) 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, 44593649 + ... + 44715281.

It is an arithmetic number, because the mean of its divisors is an integer number (111791376720).

Almost surely, 25431456541345 is an apocalyptic number.

It is an amenable number.

5431456541345 is a deficient number, since it is larger than the sum of its proper divisors (1723191568735).

5431456541345 is a wasteful number, since it uses less digits than its factorization.

5431456541345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121914.

The product of its digits is 8640000, while the sum is 50.

The spelling of 5431456541345 in words is "five trillion, four hundred thirty-one billion, four hundred fifty-six million, five hundred forty-one thousand, three hundred forty-five".

Divisors: 1 5 19 47 73 95 137 235 365 685 893 1387 2603 3431 4465 6439 6935 10001 13015 17155 32195 50005 65189 121633 122341 190019 325945 470047 608165 611705 950095 2311027 2350235 5716751 8879209 8930893 11555135 16663721 28583755 44396045 44654465 83318605 108618269 168704971 316610699 417322823 543091345 783194887 843524855 1216451633 1583053495 2086614115 3915974435 6082258165 7929133637 14880702853 23112581027 39645668185 57173226751 74403514265 115562905135 285866133755 1086291308269 5431456541345