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1482365217008 = 2413371901101323
BaseRepresentation
bin10101100100100011110…
…110100010100011110000
312020201020120200100020202
4111210203312202203300
5143241340443421013
63052553355054332
7212045251306034
oct25444366424360
95221216610222
101482365217008
11521738579975
121bb3611413a8
13a9a2ba69580
1451a6554c1c4
152885e0d3858
hex15923da28f0

1482365217008 has 80 divisors (see below), whose sum is σ = 3178309346016. Its totient is φ = 665320780800.

The previous prime is 1482365216989. The next prime is 1482365217029. The reversal of 1482365217008 is 8007125632841.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 14579435 + ... + 14680757.

Almost surely, 21482365217008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1482365217008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589154673008).

1482365217008 is an abundant number, since it is smaller than the sum of its proper divisors (1695944129008).

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

1482365217008 is a wasteful number, since it uses less digits than its factorization.

1482365217008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103282 (or 103276 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 1482365217008 in words is "one trillion, four hundred eighty-two billion, three hundred sixty-five million, two hundred seventeen thousand, eight".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1901 1924 3802 3848 7604 7696 15208 24713 30416 49426 70337 98852 101323 140674 197704 202646 281348 395408 405292 562696 810584 914381 1125392 1317199 1621168 1828762 2634398 3657524 3748951 5268796 7315048 7497902 10537592 14630096 14995804 21075184 29991608 48736363 59983216 97472726 192615023 194945452 385230046 389890904 770460092 779781808 1540920184 2503995299 3081840368 5007990598 7126755851 10015981196 14253511702 20031962392 28507023404 40063924784 57014046808 92647826063 114028093616 185295652126 370591304252 741182608504 1482365217008