Search a number
-
+
12997333392720 = 2435319718009829
BaseRepresentation
bin1011110100100010110101…
…1100001001110101010000
31201000112101111210211202220
42331020231130021311100
53200422014322031340
643350520441541040
72511012015664215
oct275105534116520
951015344724686
1012997333392720
114161157951226
12155ab787a4780
13733849393ca1
1432d107c05b0c
151781554eaed0
hexbd22d709d50

12997333392720 has 160 divisors (see below), whose sum is σ = 42020247198720. Its totient is φ = 3319571496960.

The previous prime is 12997333392713. The next prime is 12997333392763. The reversal of 12997333392720 is 2729333379921.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8283235 + ... + 9726594.

It is an arithmetic number, because the mean of its divisors is an integer number (262626544992).

Almost surely, 212997333392720 is an apocalyptic number.

12997333392720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12997333392720 is an abundant number, since it is smaller than the sum of its proper divisors (29022913806000).

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

12997333392720 is a wasteful number, since it uses less digits than its factorization.

12997333392720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18009973 (or 18009967 counting only the distinct ones).

The product of its (nonzero) digits is 23147208, while the sum is 60.

The spelling of 12997333392720 in words is "twelve trillion, nine hundred ninety-seven billion, three hundred thirty-three million, three hundred ninety-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 97 120 124 155 186 194 240 248 291 310 372 388 465 485 496 582 620 744 776 930 970 1164 1240 1455 1488 1552 1860 1940 2328 2480 2910 3007 3720 3880 4656 5820 6014 7440 7760 9021 11640 12028 15035 18042 23280 24056 30070 36084 45105 48112 60140 72168 90210 120280 144336 180420 240560 360840 721680 18009829 36019658 54029487 72039316 90049145 108058974 144078632 180098290 216117948 270147435 288157264 360196580 432235896 540294870 558304699 720393160 864471792 1080589740 1116609398 1440786320 1674914097 1746953413 2161179480 2233218796 2791523495 3349828194 3493906826 4322358960 4466437592 5240860239 5583046990 6699656388 6987813652 8374570485 8734767065 8932875184 10481720478 11166093980 13399312776 13975627304 16749140970 17469534130 20963440956 22332187960 26204301195 26798625552 27951254608 33498281940 34939068260 41926881912 44664375920 52408602390 54155555803 66996563880 69878136520 83853763824 104817204780 108311111606 133993127760 139756273040 162466667409 209634409560 216622223212 270777779015 324933334818 419268819120 433244446424 541555558030 649866669636 812333337045 866488892848 1083111116060 1299733339272 1624666674090 2166222232120 2599466678544 3249333348180 4332444464240 6498666696360 12997333392720