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4079726664 = 23313191275419
BaseRepresentation
bin1111001100101011…
…1011000001001000
3101112022201120212120
43303022323001020
531323402223124
61512454411240
7203046050556
oct36312730110
911468646776
104079726664
111803999032
1295a360b20
135002b7560
142a9b88bd6
1518d272d79
hexf32bb048

4079726664 has 128 divisors (see below), whose sum is σ = 11655168000. Its totient is φ = 1179650304.

The previous prime is 4079726663. The next prime is 4079726687. The reversal of 4079726664 is 4666279704.

It is not an unprimeable number, because it can be changed into a prime (4079726663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750147 + ... + 755565.

It is an arithmetic number, because the mean of its divisors is an integer number (91056000).

Almost surely, 24079726664 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 4079726664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827584000).

4079726664 is an abundant number, since it is smaller than the sum of its proper divisors (7575441336).

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

4079726664 is a wasteful number, since it uses less digits than its factorization.

4079726664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5587 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The square root of 4079726664 is about 63872.7380343132. The cubic root of 4079726664 is about 1597.8782636822.

The spelling of 4079726664 in words is "four billion, seventy-nine million, seven hundred twenty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 127 152 156 228 247 254 312 381 456 494 508 741 762 988 1016 1482 1524 1651 1976 2413 2964 3048 3302 4826 4953 5419 5928 6604 7239 9652 9906 10838 13208 14478 16257 19304 19812 21676 28956 31369 32514 39624 43352 57912 62738 65028 70447 94107 102961 125476 130056 140894 188214 205922 211341 250952 281788 308883 376428 411844 422682 563576 617766 688213 752856 823688 845364 1235532 1338493 1376426 1690728 2064639 2471064 2676986 2752852 4015479 4129278 5353972 5505704 8030958 8258556 8946769 10707944 13076047 16061916 16517112 17893538 26152094 26840307 32123832 35787076 39228141 52304188 53680614 71574152 78456282 104608376 107361228 156912564 169988611 214722456 313825128 339977222 509965833 679954444 1019931666 1359908888 2039863332 4079726664