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5763947904 = 27331113107109
BaseRepresentation
bin1010101111000111…
…01101110110000000
3112212200212220002000
411113203231312000
543301032313104
62351541224000
7262556514561
oct52743556600
915780786060
105763947904
112498664410
12114a402000
1370b1cab80
143c9724168
1523b05b639
hex1578edd80

5763947904 has 512 divisors, whose sum is σ = 20357568000. Its totient is φ = 1582571520.

The previous prime is 5763947887. The next prime is 5763947927. The reversal of 5763947904 is 4097493675.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52880202 + ... + 52880310.

It is an arithmetic number, because the mean of its divisors is an integer number (39760875).

Almost surely, 25763947904 is an apocalyptic number.

5763947904 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 5763947904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10178784000).

5763947904 is an abundant number, since it is smaller than the sum of its proper divisors (14593620096).

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

5763947904 is a wasteful number, since it uses less digits than its factorization.

5763947904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 5763947904 is about 75920.6684902076. The cubic root of 5763947904 is about 1792.9713457339.

The spelling of 5763947904 in words is "five billion, seven hundred sixty-three million, nine hundred forty-seven thousand, nine hundred four".