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13194845400 = 23352111999219
BaseRepresentation
bin11000100100111100…
…10101110011011000
31021001120102121002210
430102132111303120
5204010340023100
610021151155120
7644660223012
oct142236256330
937046377083
1013194845400
115661167710
122682b15aa0
131323872a39
148d25a91b2
155235ddc50
hex312795cd8

13194845400 has 96 divisors (see below), whose sum is σ = 44622590400. Its totient is φ = 3198748800.

The previous prime is 13194845387. The next prime is 13194845407. The reversal of 13194845400 is 454849131.

13194845400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13194845407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 993010 + ... + 1006209.

It is an arithmetic number, because the mean of its divisors is an integer number (464818650).

Almost surely, 213194845400 is an apocalyptic number.

13194845400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13194845400 is an abundant number, since it is smaller than the sum of its proper divisors (31427745000).

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

13194845400 is a wasteful number, since it uses less digits than its factorization.

13194845400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999249 (or 1999240 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 13194845400 in words is "thirteen billion, one hundred ninety-four million, eight hundred forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 1999219 3998438 5997657 7996876 9996095 11995314 15993752 19992190 21991409 23990628 29988285 39984380 43982818 47981256 49980475 59976570 65974227 79968760 87965636 99960950 109957045 119953140 131948454 149941425 175931272 199921900 219914090 239906280 263896908 299882850 329871135 399843800 439828180 527793816 549785225 599765700 659742270 879656360 1099570450 1199531400 1319484540 1649355675 2199140900 2638969080 3298711350 4398281800 6597422700 13194845400