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5103774144 = 26337379109
BaseRepresentation
bin1001100000011010…
…10110100111000000
3111011200122120221000
410300031112213000
540423031233034
62202235332000
7240322236000
oct46015264700
914150576830
105103774144
112189a47067
12ba52b1000
136344c4201
14365b96000
151ed104599
hex1303569c0

5103774144 has 448 divisors, whose sum is σ = 17881600000. Its totient is φ = 1426553856.

The previous prime is 5103774139. The next prime is 5103774163. The reversal of 5103774144 is 4414773015.

5103774144 is a `hidden beast` number, since 510 + 37 + 74 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×51037741443 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5103774099 and 5103774108.

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 63 ways as a sum of consecutive naturals, for example, 46823562 + ... + 46823670.

Almost surely, 25103774144 is an apocalyptic number.

5103774144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5103774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8940800000).

5103774144 is an abundant number, since it is smaller than the sum of its proper divisors (12777825856).

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

5103774144 is a wasteful number, since it uses less digits than its factorization.

5103774144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5103774144 is about 71440.7036919430. The cubic root of 5103774144 is about 1721.7251197167.

The spelling of 5103774144 in words is "five billion, one hundred three million, seven hundred seventy-four thousand, one hundred forty-four".