Search a number
-
+
5165555040 = 2532517092099
BaseRepresentation
bin1001100111110010…
…00001110101100000
3111022222220101101100
410303321001311200
541034340230130
62212323434400
7242002331142
oct46371016540
914288811340
105165555040
112210903a58
121001b25a00
13644245959
14370078c92
15203759c60
hex133e41d60

5165555040 has 144 divisors (see below), whose sum is σ = 17646174000. Its totient is φ = 1376019456.

The previous prime is 5165555033. The next prime is 5165555047. The reversal of 5165555040 is 405555615.

5165555040 is a `hidden beast` number, since 5 + 1 + 65 + 5 + 550 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5165555033) and next prime (5165555047).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5165554986 and 5165555004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5165555047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2459911 + ... + 2462009.

It is an arithmetic number, because the mean of its divisors is an integer number (122542875).

Almost surely, 25165555040 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 5165555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8823087000).

5165555040 is an abundant number, since it is smaller than the sum of its proper divisors (12480618960).

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

5165555040 is a wasteful number, since it uses less digits than its factorization.

5165555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The square root of 5165555040 is about 71871.7958590155. The cubic root of 5165555040 is about 1728.6444034358.

The spelling of 5165555040 in words is "five billion, one hundred sixty-five million, five hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1709 2099 3418 4198 5127 6297 6836 8396 8545 10254 10495 12594 13672 15381 16792 17090 18891 20508 20990 25188 25635 27344 30762 31485 33584 34180 37782 41016 41980 50376 51270 54688 61524 62970 67168 68360 75564 76905 82032 83960 94455 100752 102540 123048 125940 136720 151128 153810 164064 167920 188910 201504 205080 246096 251880 273440 302256 307620 335840 377820 410160 492192 503760 604512 615240 755640 820320 1007520 1230480 1511280 2460960 3022560 3587191 7174382 10761573 14348764 17935955 21523146 28697528 32284719 35871910 43046292 53807865 57395056 64569438 71743820 86092584 107615730 114790112 129138876 143487640 161423595 172185168 215231460 258277752 286975280 322847190 344370336 430462920 516555504 573950560 645694380 860925840 1033111008 1291388760 1721851680 2582777520 5165555040