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4084768568 = 2317314392207
BaseRepresentation
bin1111001101111000…
…1001111100111000
3101112200012202001202
43303132021330320
531331200043233
61513154433332
7203136650156
oct36336117470
911480182052
104084768568
1118068220a1
1295bb92848
1350136142a
142aa6dc3d6
1518d91bbe8
hexf3789f38

4084768568 has 64 divisors (see below), whose sum is σ = 8393932800. Its totient is φ = 1855157760.

The previous prime is 4084768547. The next prime is 4084768577. The reversal of 4084768568 is 8658674804.

It is a congruent number.

It is an unprimeable number.

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, 1849721 + ... + 1851927.

It is an arithmetic number, because the mean of its divisors is an integer number (131155200).

Almost surely, 24084768568 is an apocalyptic number.

It is an amenable number.

4084768568 is an abundant number, since it is smaller than the sum of its proper divisors (4309164232).

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

4084768568 is a wasteful number, since it uses less digits than its factorization.

4084768568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 56.

The square root of 4084768568 is about 63912.1942042362. The cubic root of 4084768568 is about 1598.5362352372.

The spelling of 4084768568 in words is "four billion, eighty-four million, seven hundred sixty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 17 31 34 62 68 124 136 248 439 527 878 1054 1756 2108 2207 3512 4216 4414 7463 8828 13609 14926 17656 27218 29852 37519 54436 59704 68417 75038 108872 136834 150076 231353 273668 300152 462706 547336 925412 968873 1163089 1850824 1937746 2326178 3875492 4652356 7750984 9304712 16470841 30035063 32941682 60070126 65883364 120140252 131766728 240280504 510596071 1021192142 2042384284 4084768568