Search a number
-
+
5531117554710 = 23451112713137313
BaseRepresentation
bin101000001111101000001…
…0011000000110000010110
3201120202210002111101220000
41100133100103000300112
51211110212043222320
615432543232552130
71110416151326406
oct120372023006026
921522702441800
105531117554710
111842808733420
12753b740b2646
13311774c931b7
141519c9602806
1598d25130c90
hex507d04c0c16

5531117554710 has 320 divisors, whose sum is σ = 16477633142784. Its totient is φ = 1320128409600.

The previous prime is 5531117554691. The next prime is 5531117554751. The reversal of 5531117554710 is 174557111355.

5531117554710 is a `hidden beast` number, since 5 + 5 + 3 + 1 + 1 + 175 + 5 + 471 + 0 = 666.

It is a super-3 number, since 3×55311175547103 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 148217014 + ... + 148254326.

Almost surely, 25531117554710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5531117554710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8238816571392).

5531117554710 is an abundant number, since it is smaller than the sum of its proper divisors (10946515588074).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5531117554710 is a wasteful number, since it uses less digits than its factorization.

5531117554710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37601 (or 37592 counting only the distinct ones).

The product of its (nonzero) digits is 367500, while the sum is 45.

The spelling of 5531117554710 in words is "five trillion, five hundred thirty-one billion, one hundred seventeen million, five hundred fifty-four thousand, seven hundred ten".