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213195194400 = 25352831070257
BaseRepresentation
bin1100011010001101101…
…1001000000000100000
3202101021221101000100010
43012203123020000200
511443110432210100
6241535052524520
721255114152346
oct3064333100040
9671257330303
10213195194400
1182463147041
123539a780740
1317147c84a06
14a46673b996
15582bad1750
hex31a36c8020

213195194400 has 144 divisors (see below), whose sum is σ = 702311861664. Its totient is φ = 56167034880.

The previous prime is 213195194347. The next prime is 213195194423. The reversal of 213195194400 is 4491591312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335929 + ... + 734328.

It is an arithmetic number, because the mean of its divisors is an integer number (4877165706).

Almost surely, 2213195194400 is an apocalyptic number.

213195194400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213195194400 is an abundant number, since it is smaller than the sum of its proper divisors (489116667264).

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

213195194400 is a wasteful number, since it uses less digits than its factorization.

213195194400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070363 (or 1070350 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 213195194400 in words is "two hundred thirteen billion, one hundred ninety-five million, one hundred ninety-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 83 96 100 120 150 160 166 200 240 249 300 332 400 415 480 498 600 664 800 830 996 1200 1245 1328 1660 1992 2075 2400 2490 2656 3320 3984 4150 4980 6225 6640 7968 8300 9960 12450 13280 16600 19920 24900 33200 39840 49800 66400 99600 199200 1070257 2140514 3210771 4281028 5351285 6421542 8562056 10702570 12843084 16053855 17124112 21405140 25686168 26756425 32107710 34248224 42810280 51372336 53512850 64215420 80269275 85620560 88831331 102744672 107025700 128430840 160538550 171241120 177662662 214051400 256861680 266493993 321077100 355325324 428102800 444156655 513723360 532987986 642154200 710650648 856205600 888313310 1065975972 1284308400 1332469965 1421301296 1776626620 2131951944 2220783275 2568616800 2664939930 2842602592 3553253240 4263903888 4441566550 5329879860 6662349825 7106506480 8527807776 8883133100 10659759720 13324699650 14213012960 17766266200 21319519440 26649399300 35532532400 42639038880 53298798600 71065064800 106597597200 213195194400