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5104671444 = 2232141796429
BaseRepresentation
bin1001100000100001…
…10001101011010100
3111011202100011210100
410300100301223110
540423243441234
62202310454100
7240332664015
oct46020615324
914152304710
105104671444
11218a4aa234
12ba5664330
13634749762
14365d4b00c
151ed230399
hex130431ad4

5104671444 has 18 divisors (see below), whose sum is σ = 12903475130. Its totient is φ = 1701557136.

The previous prime is 5104671371. The next prime is 5104671493. The reversal of 5104671444 is 4441764015.

It is a happy number.

5104671444 is a `hidden beast` number, since 51 + 0 + 467 + 144 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2971340100 + 2133331344 = 54510^2 + 46188^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 141796429 = 5104671444 / (5 + 1 + 0 + 4 + 6 + 7 + 1 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 5104671399 and 5104671408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70898179 + ... + 70898250.

Almost surely, 25104671444 is an apocalyptic number.

It is an amenable number.

5104671444 is an abundant number, since it is smaller than the sum of its proper divisors (7798803686).

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

5104671444 is a wasteful number, since it uses less digits than its factorization.

5104671444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141796439 (or 141796434 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5104671444 is about 71446.9834492682. The cubic root of 5104671444 is about 1721.8260132501.

The spelling of 5104671444 in words is "five billion, one hundred four million, six hundred seventy-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 141796429 283592858 425389287 567185716 850778574 1276167861 1701557148 2552335722 5104671444