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1482104638700 = 2252719139801701
BaseRepresentation
bin10101100100010100010…
…100100000110011101100
312020200120102100121000022
4111210110110200303230
5143240322241414300
63052511450021312
7212035635365360
oct25442424406354
95220512317008
101482104638700
115216144805a4
121bb2a9a17838
13a99b9a9201a
1451a3cabb2a0
15288462b0285
hex15914520cec

1482104638700 has 144 divisors (see below), whose sum is σ = 3896913081600. Its totient is φ = 477941472000.

The previous prime is 1482104638687. The next prime is 1482104638727. The reversal of 1482104638700 is 78364012841.

It is a super-3 number, since 3×14821046387003 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1447850 + ... + 2249550.

It is an arithmetic number, because the mean of its divisors is an integer number (27061896400).

Almost surely, 21482104638700 is an apocalyptic number.

1482104638700 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 1482104638700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948456540800).

1482104638700 is an abundant number, since it is smaller than the sum of its proper divisors (2414808442900).

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

1482104638700 is a wasteful number, since it uses less digits than its factorization.

1482104638700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801880 (or 801873 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 1482104638700 in words is "one trillion, four hundred eighty-two billion, one hundred four million, six hundred thirty-eight thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 139 140 175 190 266 278 350 380 475 532 556 665 695 700 950 973 1330 1390 1900 1946 2641 2660 2780 3325 3475 3892 4865 5282 6650 6950 9730 10564 13205 13300 13900 18487 19460 24325 26410 36974 48650 52820 66025 73948 92435 97300 132050 184870 264100 369740 462175 801701 924350 1603402 1848700 3206804 4008505 5611907 8017010 11223814 15232319 16034020 20042525 22447628 28059535 30464638 40085050 56119070 60929276 76161595 80170100 106626233 111436439 112238140 140297675 152323190 213252466 222872878 280595350 304646380 380807975 426504932 445745756 533131165 557182195 561190700 761615950 780055073 1066262330 1114364390 1523231900 1560110146 2117292341 2132524660 2228728780 2665655825 2785910975 3120220292 3900275365 4234584682 5331311650 5571821950 7800550730 8469169364 10586461705 10662623300 11143643900 14821046387 15601101460 19501376825 21172923410 29642092774 39002753650 42345846820 52932308525 59284185548 74105231935 78005507300 105864617050 148210463870 211729234100 296420927740 370526159675 741052319350 1482104638700