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2163549648 = 24313231271187
BaseRepresentation
bin1000000011110101…
…0010010111010000
312120210002201011110
42000331102113100
513412332042043
6554404213320
7104420603631
oct20075222720
95523081143
102163549648
11a102a3967
1250469a240
1328630b6c0
141674ad888
15c9e1bb33
hex80f525d0

2163549648 has 160 divisors (see below), whose sum is σ = 6335594496. Its totient is φ = 631217664.

The previous prime is 2163549643. The next prime is 2163549649. The reversal of 2163549648 is 8469453612.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2163549597 and 2163549606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163549643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1822111 + ... + 1823297.

Almost surely, 22163549648 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 2163549648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167797248).

2163549648 is an abundant number, since it is smaller than the sum of its proper divisors (4172044848).

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

2163549648 is a wasteful number, since it uses less digits than its factorization.

2163549648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1355 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 2163549648 is about 46513.9726103888. The cubic root of 2163549648 is about 1293.3685269293.

The spelling of 2163549648 in words is "two billion, one hundred sixty-three million, five hundred forty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 127 138 156 184 208 254 276 299 312 368 381 508 552 598 624 762 897 1016 1104 1187 1196 1524 1651 1794 2032 2374 2392 2921 3048 3302 3561 3588 4748 4784 4953 5842 6096 6604 7122 7176 8763 9496 9906 11684 13208 14244 14352 15431 17526 18992 19812 23368 26416 27301 28488 30862 35052 37973 39624 46293 46736 54602 56976 61724 70104 75946 79248 81903 92586 109204 113919 123448 140208 150749 151892 163806 185172 218408 227838 246896 301498 303784 327612 354913 370344 436816 452247 455676 602996 607568 655224 709826 740688 904494 911352 1064739 1205992 1310448 1419652 1808988 1822704 1959737 2129478 2411984 2839304 3467227 3617976 3919474 4258956 5678608 5879211 6934454 7235952 7838948 8517912 10401681 11758422 13868908 15677896 17035824 20803362 23516844 27737816 31355792 41606724 45073951 47033688 55475632 83213448 90147902 94067376 135221853 166426896 180295804 270443706 360591608 540887412 721183216 1081774824 2163549648