Search a number
-
+
4119118605 = 325727183317
BaseRepresentation
bin1111010110000100…
…1100001100001101
3101122001211220110100
43311201030030031
531413443243410
61520423001313
7204034634100
oct36541141415
911561756410
104119118605
111824153858
1296b599239
135084ca3b4
142b10c0737
151919548c0
hexf584c30d

4119118605 has 144 divisors (see below), whose sum is σ = 8550831744. Its totient is φ = 1828350720.

The previous prime is 4119118603. The next prime is 4119118613. The reversal of 4119118605 is 5068119114.

It is a happy number.

4119118605 is a `hidden beast` number, since 41 + 1 + 9 + 1 + 1 + 8 + 605 = 666.

It is not a de Polignac number, because 4119118605 - 21 = 4119118603 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4119118605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4119118603) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12993907 + ... + 12994223.

It is an arithmetic number, because the mean of its divisors is an integer number (59380776).

Almost surely, 24119118605 is an apocalyptic number.

4119118605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4119118605 is an abundant number, since it is smaller than the sum of its proper divisors (4431713139).

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

4119118605 is a wasteful number, since it uses less digits than its factorization.

4119118605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 4119118605 is about 64180.3599631538. The cubic root of 4119118605 is about 1603.0045892713.

The spelling of 4119118605 in words is "four billion, one hundred nineteen million, one hundred eighteen thousand, six hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 71 83 105 147 213 245 249 315 317 355 415 441 497 581 639 735 747 951 1065 1245 1491 1585 1743 2205 2219 2485 2853 2905 3195 3479 3735 4067 4473 4755 5229 5893 6657 7455 8715 10437 11095 12201 14265 15533 17395 17679 19971 20335 22365 22507 26145 26311 29465 31311 33285 36603 41251 46599 52185 53037 61005 67521 77665 78933 88395 99855 112535 123753 131555 139797 156555 157549 183015 184177 202563 206255 232995 236799 265185 288757 337605 371259 394665 472647 552531 618765 698985 787745 866271 920885 1012815 1102843 1183995 1289239 1417941 1443785 1657593 1856295 1868081 2363235 2598813 2762655 3308529 3867717 4331355 5514215 5604243 6446195 7089705 8287965 9340405 9925587 11603151 12994065 13076567 16542645 16812729 19338585 28021215 39229701 49627935 58015755 65382835 84063645 91535969 117689103 196148505 274607907 457679845 588445515 823823721 1373039535 4119118605