Search a number
-
+
704075540820 = 2235312551148387
BaseRepresentation
bin10100011111011100010…
…11000010100101010100
32111022100020100022201020
422033232023002211110
543013421314301240
61255240422201140
7101603435231511
oct12175613024524
92438306308636
10704075540820
11251662318853
12b45555831b0
135151791a162
14261126c0308
15134abca00d0
hexa3ee2c2954

704075540820 has 96 divisors (see below), whose sum is σ = 2035816882176. Its totient is φ = 181624464000.

The previous prime is 704075540807. The next prime is 704075540863. The reversal of 704075540820 is 28045570407.

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 31 ways as a sum of consecutive naturals, for example, 4670667 + ... + 4819053.

It is an arithmetic number, because the mean of its divisors is an integer number (21206425856).

Almost surely, 2704075540820 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 704075540820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017908441088).

704075540820 is an abundant number, since it is smaller than the sum of its proper divisors (1331741341356).

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

704075540820 is a wasteful number, since it uses less digits than its factorization.

704075540820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150981 (or 150979 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The spelling of 704075540820 in words is "seven hundred four billion, seventy-five million, five hundred forty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 2551 5102 7653 10204 12755 15306 25510 30612 38265 51020 76530 79081 148387 153060 158162 237243 296774 316324 395405 445161 474486 593548 741935 790810 890322 948972 1186215 1483870 1581620 1780644 2225805 2372430 2967740 4451610 4599997 4744860 8903220 9199994 13799991 18399988 22999985 27599982 45999970 55199964 68999955 91999940 137999910 275999820 378535237 757070474 1135605711 1514140948 1892676185 2271211422 3785352370 4542422844 5678028555 7570704740 11356057110 11734592347 22712114220 23469184694 35203777041 46938369388 58672961735 70407554082 117345923470 140815108164 176018885205 234691846940 352037770410 704075540820