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44685840384 = 212321963799
BaseRepresentation
bin101001100111011110…
…111101000000000000
311021100020021220002100
4221213132331000000
51213004033343014
632310044350400
73141233243013
oct514736750000
9137306256070
1044685840384
1117a50aa02a9
1287b1245400
1342a1ac6393
14223ca5137a
151268084009
hexa677bd000

44685840384 has 156 divisors (see below), whose sum is σ = 135872308000. Its totient is φ = 14111096832.

The previous prime is 44685840379. The next prime is 44685840389. The reversal of 44685840384 is 48304858644.

It is a happy number.

44685840384 is a `hidden beast` number, since 446 + 85 + 8 + 40 + 3 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (44685840379) and next prime (44685840389).

It is a self number, because there is not a number n which added to its sum of digits gives 44685840384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44685840389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 668517 + ... + 732315.

Almost surely, 244685840384 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 44685840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67936154000).

44685840384 is an abundant number, since it is smaller than the sum of its proper divisors (91186467616).

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

44685840384 is a wasteful number, since it uses less digits than its factorization.

44685840384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63848 (or 63823 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 44685840384 in words is "forty-four billion, six hundred eighty-five million, eight hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2048 2304 2432 2736 3072 3648 4096 4608 4864 5472 6144 7296 9216 9728 10944 12288 14592 18432 19456 21888 29184 36864 38912 43776 58368 63799 77824 87552 116736 127598 175104 191397 233472 255196 350208 382794 510392 574191 700416 765588 1020784 1148382 1212181 1531176 2041568 2296764 2424362 3062352 3636543 4083136 4593528 4848724 6124704 7273086 8166272 9187056 9697448 10909629 12249408 14546172 16332544 18374112 19394896 21819258 24498816 29092344 32665088 36748224 38789792 43638516 48997632 58184688 65330176 73496448 77579584 87277032 97995264 116369376 130660352 146992896 155159168 174554064 195990528 232738752 261320704 293985792 310318336 349108128 391981056 465477504 587971584 620636672 698216256 783962112 930955008 1175943168 1241273344 1396432512 1861910016 2351886336 2482546688 2792865024 3723820032 4965093376 5585730048 7447640064 11171460096 14895280128 22342920192 44685840384