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12318674948400 = 2435210265562457
BaseRepresentation
bin1011001101000010101000…
…1111101001000100110000
31121121122122122012210201010
42303100222033221010300
53103312121241322100
642111042100110520
72410665151252512
oct263205217510460
947548578183633
1012318674948400
113a1a358952257
12146b537395440
136b4852529602
14308327043bb2
15165684d5c750
hexb342a3e9130

12318674948400 has 60 divisors (see below), whose sum is σ = 39460822088552. Its totient is φ = 3284979985920.

The previous prime is 12318674948351. The next prime is 12318674948407. The reversal of 12318674948400 is 484947681321.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (12318674948407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5132780029 + ... + 5132782428.

Almost surely, 212318674948400 is an apocalyptic number.

12318674948400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12318674948400 is an abundant number, since it is smaller than the sum of its proper divisors (27142147140152).

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

12318674948400 is a wasteful number, since it uses less digits than its factorization.

12318674948400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10265562478 (or 10265562467 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 12318674948400 in words is "twelve trillion, three hundred eighteen billion, six hundred seventy-four million, nine hundred forty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 10265562457 20531124914 30796687371 41062249828 51327812285 61593374742 82124499656 102655624570 123186749484 153983436855 164248999312 205311249140 246373498968 256639061425 307966873710 410622498280 492746997936 513278122850 615933747420 769917184275 821244996560 1026556245700 1231867494840 1539834368550 2053112491400 2463734989680 3079668737100 4106224982800 6159337474200 12318674948400