Search a number
-
+
81180496924605 = 32513617224910989
BaseRepresentation
bin10010011101010101001110…
…101011101000111110111101
3101122102210001102002020202200
4102131111032223220332331
541120030124203041410
6444353445550342113
723046045251324301
oct2235251653507675
9348383042066680
1081180496924605
1123959501163001
1291313a81ba939
13363b3989bb610
14160922abcbd01
1595ba573153c0
hex49d54eae8fbd

81180496924605 has 48 divisors (see below), whose sum is σ = 151782531067440. Its totient is φ = 39901008559104.

The previous prime is 81180496924601. The next prime is 81180496924609. The reversal of 81180496924605 is 50642969408118.

81180496924605 is a `hidden beast` number, since 8 + 1 + 1 + 80 + 4 + 9 + 6 + 92 + 460 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (81180496924601) and next prime (81180496924609).

It can be written as a sum of positive squares in 8 ways, for example, as 22553941311801 + 58626555612804 = 4749099^2 + 7656798^2 .

It is not a de Polignac number, because 81180496924605 - 22 = 81180496924601 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81180496924601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112094550 + ... + 112816439.

It is an arithmetic number, because the mean of its divisors is an integer number (3162136063905).

Almost surely, 281180496924605 is an apocalyptic number.

It is an amenable number.

81180496924605 is a deficient number, since it is larger than the sum of its proper divisors (70602034142835).

81180496924605 is a wasteful number, since it uses less digits than its factorization.

81180496924605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224911630 (or 224911627 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 81180496924605 in words is "eighty-one trillion, one hundred eighty billion, four hundred ninety-six million, nine hundred twenty-four thousand, six hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 617 1851 3085 5553 8021 9255 24063 27765 40105 72189 120315 360945 224910989 674732967 1124554945 2024198901 2923842857 3373664835 8771528571 10120994505 14619214285 26314585713 43857642855 131572928565 138770080213 416310240639 693850401065 1248930721917 1804011042769 2081551203195 5412033128307 6244653609585 9020055213845 16236099384921 27060165641535 81180496924605