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4028808711690 = 2335710212087801
BaseRepresentation
bin111010101000000111101…
…101100100111000001010
3112021011001121100212222000
4322220013231210320022
51012002000012233230
612322450440411430
7564033431006160
oct72500755447012
915234047325860
104028808711690
11131367653a104
12550987a76b76
13232bb84296b9
14dcdd1485230
156ebea219b60
hex3aa07b64e0a

4028808711690 has 128 divisors (see below), whose sum is σ = 12290305789440. Its totient is φ = 919968192000.

The previous prime is 4028808711667. The next prime is 4028808711709. The reversal of 4028808711690 is 961178088204.

4028808711690 is a `hidden beast` number, since 402 + 8 + 8 + 0 + 8 + 71 + 169 + 0 = 666.

It is a super-2 number, since 2×40288087116902 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 885790 + ... + 2973590.

It is an arithmetic number, because the mean of its divisors is an integer number (96018013980).

Almost surely, 24028808711690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4028808711690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6145152894720).

4028808711690 is an abundant number, since it is smaller than the sum of its proper divisors (8261497077750).

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

4028808711690 is a wasteful number, since it uses less digits than its factorization.

4028808711690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088845 (or 2088839 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 4028808711690 in words is "four trillion, twenty-eight billion, eight hundred eight million, seven hundred eleven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1021 1890 2042 3063 5105 6126 7147 9189 10210 14294 15315 18378 21441 27567 30630 35735 42882 45945 55134 64323 71470 91890 107205 128646 137835 192969 214410 275670 321615 385938 643230 964845 1929690 2087801 4175602 6263403 10439005 12526806 14614607 18790209 20878010 29229214 31317015 37580418 43843821 56370627 62634030 73073035 87687642 93951045 112741254 131531463 146146070 187902090 219219105 263062926 281853135 394594389 438438210 563706270 657657315 789188778 1315314630 1972971945 2131644821 3945943890 4263289642 6394934463 10658224105 12789868926 14921513747 19184803389 21316448210 29843027494 31974672315 38369606778 44764541241 57554410167 63949344630 74607568735 89529082482 95924016945 115108820334 134293623723 149215137470 191848033890 223822706205 268587247446 287772050835 402880871169 447645412410 575544101670 671468118615 805761742338 1342936237230 2014404355845 4028808711690