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52118898696 = 233211325312
BaseRepresentation
bin110000100010100001…
…110100100000001000
311222112020220101012100
4300202201310200020
51323214414224241
635535412513400
73523361220654
oct604241644010
9158466811170
1052118898696
1120115839aa7
12a12661b860
134bb7a46937
142745cd9a64
1515508e19b6
hexc22874808

52118898696 has 72 divisors (see below), whose sum is σ = 142460799390. Its totient is φ = 17212419840.

The previous prime is 52118898661. The next prime is 52118898697. The reversal of 52118898696 is 69689881125.

52118898696 is a `hidden beast` number, since 521 + 18 + 8 + 9 + 8 + 6 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51888284100 + 230614596 = 227790^2 + 15186^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52118898697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20590951 + ... + 20593481.

Almost surely, 252118898696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52118898696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71230399695).

52118898696 is an abundant number, since it is smaller than the sum of its proper divisors (90341900694).

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

52118898696 is a wasteful number, since it uses less digits than its factorization.

52118898696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187 (or 2649 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 63.

The spelling of 52118898696 in words is "fifty-two billion, one hundred eighteen million, eight hundred ninety-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2531 2712 4068 5062 7593 8136 10124 15186 20248 22779 30372 45558 60744 91116 182232 286003 572006 858009 1144012 1716018 2288024 2574027 3432036 5148054 6405961 6864072 10296108 12811922 19217883 20592216 25623844 38435766 51247688 57653649 76871532 115307298 153743064 230614596 461229192 723873593 1447747186 2171620779 2895494372 4343241558 5790988744 6514862337 8686483116 13029724674 17372966232 26059449348 52118898696