Search a number
-
+
7678728073640 = 2351343433793103
BaseRepresentation
bin110111110111101011111…
…0110111111000110101000
31000012002010202120112220202
41233233113312333012220
52001302013341324030
624155320423411332
71421525016462551
oct157572766770650
930162122515822
107678728073640
1124a05918a4908
12a402325b3b48
13439140a31ba0
141c791c361328
15d4b1c043745
hex6fbd7dbf1a8

7678728073640 has 128 divisors (see below), whose sum is σ = 19082843619840. Its totient is φ = 2762888196096.

The previous prime is 7678728073537. The next prime is 7678728073703. The reversal of 7678728073640 is 463708278767.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9285329 + ... + 10078431.

It is an arithmetic number, because the mean of its divisors is an integer number (149084715780).

Almost surely, 27678728073640 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 7678728073640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9541421809920).

7678728073640 is an abundant number, since it is smaller than the sum of its proper divisors (11404115546200).

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

7678728073640 is a wasteful number, since it uses less digits than its factorization.

7678728073640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793603 (or 793599 counting only the distinct ones).

The product of its (nonzero) digits is 132765696, while the sum is 65.

The spelling of 7678728073640 in words is "seven trillion, six hundred seventy-eight billion, seven hundred twenty-eight million, seventy-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 433 520 559 860 866 1118 1720 1732 2165 2236 2795 3464 4330 4472 5590 5629 8660 11180 11258 17320 18619 22360 22516 28145 37238 45032 56290 74476 93095 112580 148952 186190 225160 242047 372380 484094 744760 793103 968188 1210235 1586206 1936376 2420470 3172412 3965515 4840940 6344824 7931030 9681880 10310339 15862060 20620678 31724120 34103429 41241356 51551695 68206858 82482712 103103390 136413716 170517145 206206780 272827432 341034290 343413599 412413560 443344577 682068580 686827198 886689154 1364137160 1373654396 1717067995 1773378308 2216722885 2747308792 3434135990 3546756616 4433445770 4464376787 6868271980 8866891540 8928753574 13736543960 14766784757 17733783080 17857507148 22321883935 29533569514 35715014296 44643767870 59067139028 73833923785 89287535740 118134278056 147667847570 178575071480 191968201841 295335695140 383936403682 590671390280 767872807364 959841009205 1535745614728 1919682018410 3839364036820 7678728073640