Search a number
-
+
5775738714144 = 253472232922351
BaseRepresentation
bin101010000001100010011…
…0110101011100000100000
3202110011012011100211220000
41110003010312223200200
51224112203102323034
620141200541220000
71134166122015300
oct124030466534040
922404164324800
105775738714144
111927527a27093
12793463261600
1332b85a87cc99
1415d7938d9600
15a0390b0e599
hex540c4dab820

5775738714144 has 1080 divisors, whose sum is σ = 21363258204288. Its totient is φ = 1523384755200.

The previous prime is 5775738714143. The next prime is 5775738714217. The reversal of 5775738714144 is 4414178375775.

5775738714144 is a `hidden beast` number, since 5 + 7 + 7 + 573 + 8 + 7 + 14 + 1 + 44 = 666.

It is a super-3 number, since 3×57757387141443 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5775738714143) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2456714569 + ... + 2456716919.

Almost surely, 25775738714144 is an apocalyptic number.

5775738714144 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 5775738714144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10681629102144).

5775738714144 is an abundant number, since it is smaller than the sum of its proper divisors (15587519490144).

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

5775738714144 is a wasteful number, since it uses less digits than its factorization.

5775738714144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2415 counting only the distinct ones).

The product of its digits is 92198400, while the sum is 63.

The spelling of 5775738714144 in words is "five trillion, seven hundred seventy-five billion, seven hundred thirty-eight million, seven hundred fourteen thousand, one hundred forty-four".