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5768687000 = 23539759471
BaseRepresentation
bin1010101111101011…
…10010110110011000
3112220000210122220002
411113311302312120
543303240441000
62352230552132
7262645013306
oct52765626630
915800718802
105768687000
1124a0300a1a
12114bb08648
1370c199c7b
143ca1d9276
1523b6958d5
hex157d72d98

5768687000 has 64 divisors (see below), whose sum is σ = 13638119040. Its totient is φ = 2283648000.

The previous prime is 5768686997. The next prime is 5768687009. The reversal of 5768687000 is 7868675.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5768687009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67265 + ... + 126735.

It is an arithmetic number, because the mean of its divisors is an integer number (213095610).

Almost surely, 25768687000 is an apocalyptic number.

5768687000 is a gapful number since it is divisible by the number (50) 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 5768687000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819059520).

5768687000 is an abundant number, since it is smaller than the sum of its proper divisors (7869432040).

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

5768687000 is a wasteful number, since it uses less digits than its factorization.

5768687000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59589 (or 59575 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 47.

The square root of 5768687000 is about 75951.8729196325. The cubic root of 5768687000 is about 1793.4626025244.

The spelling of 5768687000 in words is "five billion, seven hundred sixty-eight million, six hundred eighty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 194 200 250 388 485 500 776 970 1000 1940 2425 3880 4850 9700 12125 19400 24250 48500 59471 97000 118942 237884 297355 475768 594710 1189420 1486775 2378840 2973550 5768687 5947100 7433875 11537374 11894200 14867750 23074748 28843435 29735500 46149496 57686870 59471000 115373740 144217175 230747480 288434350 576868700 721085875 1153737400 1442171750 2884343500 5768687000