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4068871296 = 27371513717
BaseRepresentation
bin1111001010000110…
…0000110010000000
3101111120022002002220
43302201200302000
531313112340141
61511430011040
7202554556350
oct36241406200
911446262086
104068871296
1117a8854256
129567a6a80
134cac86569
142a8560b60
1518c32b766
hexf2860c80

4068871296 has 64 divisors (see below), whose sum is σ = 12351938880. Its totient is φ = 1162533888.

The previous prime is 4068871291. The next prime is 4068871309. The reversal of 4068871296 is 6921788604.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4068871291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 754171 + ... + 759546.

It is an arithmetic number, because the mean of its divisors is an integer number (192999045).

Almost surely, 24068871296 is an apocalyptic number.

It is an amenable number.

4068871296 is an abundant number, since it is smaller than the sum of its proper divisors (8283067584).

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

4068871296 is a wasteful number, since it uses less digits than its factorization.

4068871296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513741 (or 1513729 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 4068871296 is about 63787.7048967903. The cubic root of 4068871296 is about 1596.4597892614.

The spelling of 4068871296 in words is "four billion, sixty-eight million, eight hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 1513717 3027434 4541151 6054868 9082302 10596019 12109736 18164604 21192038 24219472 31788057 36329208 42384076 48438944 63576114 72658416 84768152 96877888 127152228 145316832 169536304 193755776 254304456 290633664 339072608 508608912 581267328 678145216 1017217824 1356290432 2034435648 4068871296