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2148631056 = 2433111334781
BaseRepresentation
bin1000000000010001…
…1000001000010000
312112202000202201000
42000010120020100
513400022143211
6553112342000
7104150030325
oct20004301020
95482022630
102148631056
11a02934350
124bb6a4900
132831b7130
14165508b4c
15c8971656
hex80118210

2148631056 has 160 divisors (see below), whose sum is σ = 7245786240. Its totient is φ = 600998400.

The previous prime is 2148631031. The next prime is 2148631061. The reversal of 2148631056 is 6501368412.

It is a happy number.

2148631056 is a `hidden beast` number, since 2 + 14 + 8 + 631 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2148631056.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44386 + ... + 79166.

It is an arithmetic number, because the mean of its divisors is an integer number (45286164).

Almost surely, 22148631056 is an apocalyptic number.

2148631056 is a gapful number since it is divisible by the number (26) 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 2148631056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622893120).

2148631056 is an abundant number, since it is smaller than the sum of its proper divisors (5097155184).

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

2148631056 is a wasteful number, since it uses less digits than its factorization.

2148631056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34822 (or 34810 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2148631056 is about 46353.3284241811. The cubic root of 2148631056 is about 1290.3888930255.

Adding to 2148631056 its reverse (6501368412), we get a palindrome (8649999468).

The spelling of 2148631056 in words is "two billion, one hundred forty-eight million, six hundred thirty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 297 312 351 396 429 432 468 528 572 594 624 702 792 858 936 1144 1188 1287 1404 1584 1716 1872 2288 2376 2574 2808 3432 3861 4752 5148 5616 6864 7722 10296 15444 20592 30888 34781 61776 69562 104343 139124 208686 278248 313029 382591 417372 452153 556496 626058 765182 834744 904306 939087 1147773 1252116 1356459 1530364 1669488 1808612 1878174 2295546 2504232 2712918 3060728 3443319 3617224 3756348 4069377 4591092 4973683 5008464 5425836 6121456 6886638 7234448 7512696 8138754 9182184 9947366 10329957 10851672 12208131 13773276 14921049 15025392 16277508 18364368 19894732 20659914 21703344 24416262 27546552 29842098 32555016 39789464 41319828 44763147 48832524 55093104 59684196 65110032 79578928 82639656 89526294 97665048 119368392 134289441 165279312 179052588 195330096 238736784 268578882 358105176 537157764 716210352 1074315528 2148631056