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5775963648 = 29371331243
BaseRepresentation
bin1010110000100011…
…00011011000000000
3112220112111100120120
411120101203120000
543312121314043
62353050540240
7263063611110
oct53021433000
915815440516
105775963648
1124a4420a84
121152437680
13710847090
143cb171040
1523c131983
hex158463600

5775963648 has 480 divisors, whose sum is σ = 20024218368. Its totient is φ = 1439907840.

The previous prime is 5775963647. The next prime is 5775963701. The reversal of 5775963648 is 8463695775.

It is a junction number, because it is equal to n+sod(n) for n = 5775963591 and 5775963600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5775963647) 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 47 ways as a sum of consecutive naturals, for example, 134324715 + ... + 134324757.

Almost surely, 25775963648 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 5775963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10012109184).

5775963648 is an abundant number, since it is smaller than the sum of its proper divisors (14248254720).

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

5775963648 is a wasteful number, since it uses less digits than its factorization.

5775963648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 99 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 60.

The square root of 5775963648 is about 75999.7608417290. The cubic root of 5775963648 is about 1794.2163796332.

The spelling of 5775963648 in words is "five billion, seven hundred seventy-five million, nine hundred sixty-three thousand, six hundred forty-eight".