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194925483480900 = 223524167932332931
BaseRepresentation
bin101100010100100010100000…
…001100110101011101000100
3221120011200202002112112211110
4230110202200030311131010
5201022124342232342100
61530323310401205020
756025621123511464
oct5424424014653504
9846150662475743
10194925483480900
1157122484801107
1219a41a46030770
13849c518141883
14361c62d899ba4
1517806d49a9250
hexb148a0335744

194925483480900 has 144 divisors (see below), whose sum is σ = 577825412931648. Its totient is φ = 50704833792000.

The previous prime is 194925483480877. The next prime is 194925483480911. The reversal of 194925483480900 is 9084384529491.

It is a super-3 number, since 3×1949254834809003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 82387435 + ... + 84720365.

It is an arithmetic number, because the mean of its divisors is an integer number (4012676478692).

Almost surely, 2194925483480900 is an apocalyptic number.

194925483480900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194925483480900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288912706465824).

194925483480900 is an abundant number, since it is smaller than the sum of its proper divisors (382899929450748).

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

194925483480900 is a wasteful number, since it uses less digits than its factorization.

194925483480900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339782 (or 2339775 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 66.

The spelling of 194925483480900 in words is "one hundred ninety-four trillion, nine hundred twenty-five billion, four hundred eighty-three million, four hundred eighty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 6793 12300 13586 20379 27172 33965 40758 67930 81516 101895 135860 169825 203790 278513 339650 407580 509475 557026 679300 835539 1018950 1114052 1392565 1671078 2037900 2332931 2785130 3342156 4177695 4665862 5570260 6962825 6998793 8355390 9331724 11664655 13925650 13997586 16710780 20888475 23329310 27851300 27995172 34993965 41776950 46658620 58323275 69987930 83553900 95650171 116646550 139975860 174969825 191300342 233293100 286950513 349939650 382600684 478250855 573901026 699879300 956501710 1147802052 1434752565 1913003420 2391254275 2869505130 4782508550 5739010260 7173762825 9565017100 14347525650 15847600283 28695051300 31695200566 47542800849 63390401132 79238001415 95085601698 158476002830 190171203396 237714004245 316952005660 396190007075 475428008490 649751611603 792380014150 950856016980 1188570021225 1299503223206 1584760028300 1949254834809 2377140042450 2599006446412 3248758058015 3898509669618 4754280084900 6497516116030 7797019339236 9746274174045 12995032232060 16243790290075 19492548348090 32487580580150 38985096696180 48731370870225 64975161160300 97462741740450 194925483480900