Search a number
-
+
7117133071950 = 23252117918200059
BaseRepresentation
bin110011110010001011000…
…1100000100011001001110
3221012101120020111112221100
41213210112030010121032
51413101342031300300
623045322113443530
71333124122643616
oct147442614043116
927171506445840
107117133071950
1122a43a5091a40
1296b4215705a6
133c81b1881265
141a86848d5a46
15c51edb49700
hex6791630464e

7117133071950 has 144 divisors (see below), whose sum is σ = 21123717638400. Its totient is φ = 1703525428800.

The previous prime is 7117133071949. The next prime is 7117133071973. The reversal of 7117133071950 is 591703317117.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 7117133071896 and 7117133071905.

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 71 ways as a sum of consecutive naturals, for example, 8708980 + ... + 9491079.

It is an arithmetic number, because the mean of its divisors is an integer number (146692483600).

Almost surely, 27117133071950 is an apocalyptic number.

7117133071950 is an abundant number, since it is smaller than the sum of its proper divisors (14006584566450).

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

7117133071950 is a wasteful number, since it uses less digits than its factorization.

7117133071950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18200167 (or 18200159 counting only the distinct ones).

The product of its (nonzero) digits is 138915, while the sum is 45.

The spelling of 7117133071950 in words is "seven trillion, one hundred seventeen billion, one hundred thirty-three million, seventy-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 79 90 99 110 150 158 165 198 225 237 275 330 395 450 474 495 550 711 790 825 869 990 1185 1422 1650 1738 1975 2370 2475 2607 3555 3950 4345 4950 5214 5925 7110 7821 8690 11850 13035 15642 17775 21725 26070 35550 39105 43450 65175 78210 130350 195525 391050 18200059 36400118 54600177 91000295 109200354 163800531 182000590 200200649 273000885 327601062 400401298 455001475 546001770 600601947 819002655 910002950 1001003245 1201203894 1365004425 1437804661 1638005310 1801805841 2002006490 2730008850 2875609322 3003009735 3603611682 4095013275 4313413983 5005016225 6006019470 7189023305 8190026550 8626827966 9009029205 10010032450 12940241949 14378046610 15015048675 15815851271 18018058410 21567069915 25880483898 30030097350 31631702542 35945116525 43134139830 45045146025 47447553813 64701209745 71890233050 79079256355 90090292050 94895107626 107835349575 129402419490 142342661439 158158512710 215670699150 237237769065 284685322878 323506048725 395396281775 474475538130 647012097450 711713307195 790792563550 1186188845325 1423426614390 2372377690650 3558566535975 7117133071950