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12804884080320 = 2635131101820007
BaseRepresentation
bin1011101001010101111010…
…0100010010011011000000
31200100010122101110211102210
42322111132210102123000
53134243400311032240
643122252121142120
72461056651553533
oct272253644223300
950303571424383
1012804884080320
114097580271412
12152980992a940
1371b65949c1c7
14323a8c86ca1a
1517313edbc780
hexba55e9126c0

12804884080320 has 112 divisors (see below), whose sum is σ = 40965854738688. Its totient is φ = 3388569799680.

The previous prime is 12804884080309. The next prime is 12804884080337. The reversal of 12804884080320 is 2308048840821.

It is a super-2 number, since 2×128048840803202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12804884080320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50784244 + ... + 51035763.

Almost surely, 212804884080320 is an apocalyptic number.

12804884080320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12804884080320 is an abundant number, since it is smaller than the sum of its proper divisors (28160970658368).

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

12804884080320 is a wasteful number, since it uses less digits than its factorization.

12804884080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101820158 (or 101820148 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The spelling of 12804884080320 in words is "twelve trillion, eight hundred four billion, eight hundred eighty-four million, eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 131 160 192 240 262 320 393 480 524 655 786 960 1048 1310 1572 1965 2096 2620 3144 3930 4192 5240 6288 7860 8384 10480 12576 15720 20960 25152 31440 41920 62880 125760 101820007 203640014 305460021 407280028 509100035 610920042 814560056 1018200070 1221840084 1527300105 1629120112 2036400140 2443680168 3054600210 3258240224 4072800280 4887360336 6109200420 6516480448 8145600560 9774720672 12218400840 13338420917 16291201120 19549441344 24436801680 26676841834 32582402240 40015262751 48873603360 53353683668 66692104585 80030525502 97747206720 106707367336 133384209170 160061051004 200076313755 213414734672 266768418340 320122102008 400152627510 426829469344 533536836680 640244204016 800305255020 853658938688 1067073673360 1280488408032 1600610510040 2134147346720 2560976816064 3201221020080 4268294693440 6402442040160 12804884080320