Search a number
-
+
12540213468800 = 275219206253511
BaseRepresentation
bin1011011001111011111011…
…1110000001111010000000
31122101211111001000200200022
42312132332332001322000
53120424324122000200
642400521115313012
72433000115514603
oct266367676017200
948354431020608
1012540213468800
113aa5302642636
1214a646414b768
136cc6c9bb18c4
14314d4189a33a
1516b2ee155885
hexb67bef81e80

12540213468800 has 96 divisors (see below), whose sum is σ = 32608680247200. Its totient is φ = 4752080870400.

The previous prime is 12540213468773. The next prime is 12540213468901. The reversal of 12540213468800 is 886431204521.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103065956 + ... + 103187555.

It is an arithmetic number, because the mean of its divisors is an integer number (339673752575).

Almost surely, 212540213468800 is an apocalyptic number.

12540213468800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12540213468800 is an abundant number, since it is smaller than the sum of its proper divisors (20068466778400).

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

12540213468800 is a wasteful number, since it uses less digits than its factorization.

12540213468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206253554 (or 206253537 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 12540213468800 in words is "twelve trillion, five hundred forty billion, two hundred thirteen million, four hundred sixty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 304 320 380 400 475 608 640 760 800 950 1216 1520 1600 1900 2432 3040 3200 3800 6080 7600 12160 15200 30400 60800 206253511 412507022 825014044 1031267555 1650028088 2062535110 3300056176 3918816709 4125070220 5156337775 6600112352 7837633418 8250140440 10312675550 13200224704 15675266836 16500280880 19594083545 20625351100 26400449408 31350533672 33000561760 39188167090 41250702200 62701067344 66001123520 78376334180 82501404400 97970417725 125402134688 132002247040 156752668360 165002808800 195940835450 250804269376 313505336720 330005617600 391881670900 501608538752 627010673440 660011235200 783763341800 1254021346880 1567526683600 2508042693760 3135053367200 6270106734400 12540213468800