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12673350323400 = 23352132124983731
BaseRepresentation
bin1011100001101011111010…
…0010110100110011001000
31122212120010120111122212010
42320122332202310303020
53130120010140322100
642542020132215520
72445422302224624
oct270327642646310
948776116448763
1012673350323400
114046812955a88
12150821b46a5a0
1370c126916400
1431b5717d4184
1516e9e2592750
hexb86be8b4cc8

12673350323400 has 144 divisors (see below), whose sum is σ = 42541962698160. Its totient is φ = 3119593900800.

The previous prime is 12673350323383. The next prime is 12673350323489. The reversal of 12673350323400 is 432305337621.

12673350323400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126733503234002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62390466 + ... + 62593265.

It is an arithmetic number, because the mean of its divisors is an integer number (295430296515).

Almost surely, 212673350323400 is an apocalyptic number.

12673350323400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12673350323400 is an abundant number, since it is smaller than the sum of its proper divisors (29868612374760).

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

12673350323400 is a wasteful number, since it uses less digits than its factorization.

12673350323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124983776 (or 124983754 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 39.

The spelling of 12673350323400 in words is "twelve trillion, six hundred seventy-three billion, three hundred fifty million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 169 195 200 260 300 312 325 338 390 507 520 600 650 676 780 845 975 1014 1300 1352 1560 1690 1950 2028 2535 2600 3380 3900 4056 4225 5070 6760 7800 8450 10140 12675 16900 20280 25350 33800 50700 101400 124983731 249967462 374951193 499934924 624918655 749902386 999869848 1249837310 1499804772 1624788503 1874755965 2499674620 2999609544 3124593275 3249577006 3749511930 4874365509 4999349240 6249186550 6499154012 7499023860 8123942515 9373779825 9748731018 12498373100 12998308024 14998047720 16247885030 18747559650 19497462036 21122250539 24371827545 24996746200 32495770060 37495119300 38994924072 40619712575 42244501078 48743655090 63366751617 64991540120 74990238600 81239425150 84489002156 97487310180 105611252695 121859137725 126733503234 162478850300 168978004312 194974620360 211222505390 243718275450 253467006468 316833758085 324957700600 422445010780 487436550900 506934012936 528056263475 633667516170 844890021560 974873101800 1056112526950 1267335032340 1584168790425 2112225053900 2534670064680 3168337580850 4224450107800 6336675161700 12673350323400