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5775630336 = 21332719231
BaseRepresentation
bin1010110000100000…
…10010000000000000
3112220111212102100200
411120100102000000
543312030132321
62353035445200
7263061022260
oct53020220000
915814772320
105775630336
1124a4213613
1211522b6800
1371075b458
143cb0c57a0
1523c0b7d26
hex158412000

5775630336 has 504 divisors, whose sum is σ = 20773119744. Its totient is φ = 1512898560.

The previous prime is 5775630307. The next prime is 5775630379. The reversal of 5775630336 is 6330365775.

5775630336 is a `hidden beast` number, since 5 + 7 + 7 + 5 + 630 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 5775630291 and 5775630300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186310641 + ... + 186310671.

Almost surely, 25775630336 is an apocalyptic number.

5775630336 is a gapful number since it is divisible by the number (56) 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 5775630336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10386559872).

5775630336 is an abundant number, since it is smaller than the sum of its proper divisors (14997489408).

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

5775630336 is a wasteful number, since it uses less digits than its factorization.

5775630336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 45.

The square root of 5775630336 is about 75997.5679610868. The cubic root of 5775630336 is about 1794.1818661800.

The spelling of 5775630336 in words is "five billion, seven hundred seventy-five million, six hundred thirty thousand, three hundred thirty-six".