Search a number
-
+
6680721522680 = 23523491106313913
BaseRepresentation
bin110000100110111101000…
…0010000111111111111000
3212122200002222011211102122
41201031322002013333320
51333424104202211210
622113025303420412
71256444335662362
oct141157202077770
925580088154378
106680721522680
112146307151767
128ba928154708
13395cb27589ba
141914c4989d32
15b8baa7e8b55
hex6137a087ff8

6680721522680 has 128 divisors (see below), whose sum is σ = 15733033989120. Its totient is φ = 2548313349120.

The previous prime is 6680721522637. The next prime is 6680721522733. The reversal of 6680721522680 is 862251270866.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480171404 + ... + 480185316.

It is an arithmetic number, because the mean of its divisors is an integer number (122914328040).

Almost surely, 26680721522680 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 6680721522680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7866516994560).

6680721522680 is an abundant number, since it is smaller than the sum of its proper divisors (9052312466440).

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

6680721522680 is a wasteful number, since it uses less digits than its factorization.

6680721522680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15501 (or 15497 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 53.

The spelling of 6680721522680 in words is "six trillion, six hundred eighty billion, seven hundred twenty-one million, five hundred twenty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 491 920 982 1063 1964 2126 2455 3928 4252 4910 5315 8504 9820 10630 11293 13913 19640 21260 22586 24449 27826 42520 45172 48898 55652 56465 69565 90344 97796 111304 112930 122245 139130 195592 225860 244490 278260 319999 451720 488980 521933 556520 639998 977960 1043866 1279996 1599995 2087732 2559992 2609665 3199990 4175464 5219330 6399980 6831283 10438660 12004459 12799960 13662566 14789519 20877320 24008918 27325132 29579038 34156415 48017836 54650264 59158076 60022295 68312830 73947595 96035672 118316152 120044590 136625660 147895190 157119509 240089180 273251320 295790380 314239018 340158937 480178360 591580760 628478036 680317874 785597545 1256956072 1360635748 1571195090 1700794685 2721271496 3142390180 3401589370 6284780360 6803178740 7261653829 13606357480 14523307658 29046615316 36308269145 58093230632 72616538290 145233076580 167018038067 290466153160 334036076134 668072152268 835090190335 1336144304536 1670180380670 3340360761340 6680721522680