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1645885380864 = 2833768578447
BaseRepresentation
bin10111111100110110011…
…010011101100100000000
312211100022120201100020210
4113330312122131210000
5203431233124141424
63300035335434120
7226624400622444
oct27746632354400
95740276640223
101645885380864
1158501a43125a
12226b97825940
13bc28b3b268a
145993878c824
152cc2eb12729
hex17f3669d900

1645885380864 has 144 divisors (see below), whose sum is σ = 4500034818048. Its totient is φ = 533659631616.

The previous prime is 1645885380847. The next prime is 1645885381001. The reversal of 1645885380864 is 4680835885461.

It is a junction number, because it is equal to n+sod(n) for n = 1645885380795 and 1645885380804.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194844289 + ... + 194852735.

It is an arithmetic number, because the mean of its divisors is an integer number (31250241792).

Almost surely, 21645885380864 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 1645885380864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250017409024).

1645885380864 is an abundant number, since it is smaller than the sum of its proper divisors (2854149437184).

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

1645885380864 is an equidigital number, since it uses as much as digits as its factorization.

1645885380864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15360 (or 15346 counting only the distinct ones).

The product of its (nonzero) digits is 176947200, while the sum is 66.

The spelling of 1645885380864 in words is "one trillion, six hundred forty-five billion, eight hundred eighty-five million, three hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 2368 3552 4736 6857 7104 8447 9472 13714 14208 16894 20571 25341 27428 28416 33788 41142 50682 54856 67576 82284 101364 109712 135152 164568 202728 219424 253709 270304 312539 329136 405456 438848 507418 540608 625078 658272 761127 810912 877696 937617 1014836 1081216 1250156 1316544 1522254 1621824 1755392 1875234 2029672 2162432 2500312 2633088 3044508 3243648 3750468 4059344 5000624 5266176 6089016 6487296 7500936 8118688 10001248 12178032 15001872 16237376 20002496 24356064 30003744 32474752 40004992 48712128 57921079 60007488 64949504 80009984 97424256 115842158 120014976 173763237 194848512 231684316 240029952 347526474 463368632 695052948 926737264 1390105896 1853474528 2143079923 2780211792 3706949056 4286159846 5560423584 6429239769 7413898112 8572319692 11120847168 12858479538 14827796224 17144639384 22241694336 25716959076 34289278768 44483388672 51433918152 68578557536 102867836304 137157115072 205735672608 274314230144 411471345216 548628460288 822942690432 1645885380864