Search a number
-
+
31606154541 = 32133761119689
BaseRepresentation
bin11101011011110111…
…111010010100101101
310000120200120000012100
4131123313322110231
51004212133421131
622304125325313
72166141611103
oct353367722455
9100520500170
1031606154541
1112449939785
126160a06839
132c990742c0
14175b8a1c73
15c4eb417e6
hex75bdfa52d

31606154541 has 48 divisors (see below), whose sum is σ = 51322114480. Its totient is φ = 18613877760.

The previous prime is 31606154527. The next prime is 31606154581. The reversal of 31606154541 is 14545160613.

31606154541 is a `hidden beast` number, since 3 + 1 + 6 + 0 + 61 + 54 + 541 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9097153641 + 22509000900 = 95379^2 + 150030^2 .

It is not a de Polignac number, because 31606154541 - 26 = 31606154477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31606154496 and 31606154505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31606154581) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 204225 + ... + 323913.

Almost surely, 231606154541 is an apocalyptic number.

It is an amenable number.

31606154541 is a deficient number, since it is larger than the sum of its proper divisors (19715959939).

31606154541 is a wasteful number, since it uses less digits than its factorization.

31606154541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119806 (or 119803 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 31606154541 in words is "thirty-one billion, six hundred six million, one hundred fifty-four thousand, five hundred forty-one".

Divisors: 1 3 9 13 37 39 61 111 117 183 333 481 549 793 1443 2257 2379 4329 6771 7137 20313 29341 88023 119689 264069 359067 1077201 1555957 4428493 4667871 7301029 13285479 14003613 21903087 39856437 57570409 65709261 94913377 172711227 270138073 284740131 518133681 810414219 854220393 2431242657 3511794949 10535384847 31606154541