Search a number
-
+
55381135314132 = 22322117290828767
BaseRepresentation
bin11001001011110011011001…
…11001011100110011010100
321021002101101112121102111200
430211321230321130303110
524224331031120023012
6313441424202232500
714444104106044155
oct1445715471346324
9237071345542450
1055381135314132
111671200a113271
12626529a1b5730
1324b9559a14354
14d9666595d92c
156608cca1d3dc
hex325e6ce5ccd4

55381135314132 has 36 divisors (see below), whose sum is σ = 140654668592256. Its totient is φ = 18372888490320.

The previous prime is 55381135314059. The next prime is 55381135314149. The reversal of 55381135314132 is 23141353118355.

55381135314132 is a `hidden beast` number, since 5 + 5 + 3 + 81 + 1 + 3 + 531 + 4 + 1 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3645406788 + ... + 3645421979.

Almost surely, 255381135314132 is an apocalyptic number.

It is an amenable number.

55381135314132 is an abundant number, since it is smaller than the sum of its proper divisors (85273533278124).

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

55381135314132 is a wasteful number, since it uses less digits than its factorization.

55381135314132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290828988 (or 7290828983 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 55381135314132 in words is "fifty-five trillion, three hundred eighty-one billion, one hundred thirty-five million, three hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 211 422 633 844 1266 1899 2532 3798 7596 7290828767 14581657534 21872486301 29163315068 43744972602 65617458903 87489945204 131234917806 262469835612 1538364869837 3076729739674 4615094609511 6153459479348 9230189219022 13845283828533 18460378438044 27690567657066 55381135314132