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5776006964 = 2271324332819
BaseRepresentation
bin1010110000100011…
…01101111100110100
3112220112120112222212
411120101231330310
543312124210324
62353051512552
7263064151310
oct53021557464
915815515885
105776006964
1124a4450582
121152458758
13710860a00
143cb182b40
1523c13e70e
hex15846df34

5776006964 has 72 divisors (see below), whose sum is σ = 12542322240. Its totient is φ = 2278927872.

The previous prime is 5776006963. The next prime is 5776006967. The reversal of 5776006964 is 4696006775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5776006961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2047547 + ... + 2050365.

It is an arithmetic number, because the mean of its divisors is an integer number (174198920).

Almost surely, 25776006964 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 5776006964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6271161120).

5776006964 is an abundant number, since it is smaller than the sum of its proper divisors (6766315276).

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

5776006964 is a wasteful number, since it uses less digits than its factorization.

5776006964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 50.

The square root of 5776006964 is about 76000.0458157757. The cubic root of 5776006964 is about 1794.2208647770.

The spelling of 5776006964 in words is "five billion, seven hundred seventy-six million, six thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 433 676 866 1183 1732 2366 2819 3031 4732 5629 5638 6062 11258 11276 12124 19733 22516 36647 39403 39466 73177 73294 78806 78932 146354 146588 157612 256529 292708 476411 512239 513058 952822 1024478 1026116 1220627 1905644 2048956 2441254 3334877 4882508 6669754 8544389 13339508 15868151 17088778 31736302 34177556 63472604 111077057 206285963 222154114 412571926 444308228 825143852 1444001741 2888003482 5776006964