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2132906616 = 2332299710531
BaseRepresentation
bin111111100100001…
…1001001001111000
312111122102212211100
41333020121021320
513332011002431
6551351331400
7103566256431
oct17710311170
95448385740
102132906616
119a4a74345
124b6380b60
1327cb6cb29
141633b4488
15c73b74e6
hex7f219278

2132906616 has 96 divisors (see below), whose sum is σ = 6037995600. Its totient is φ = 679311360.

The previous prime is 2132906599. The next prime is 2132906623. The reversal of 2132906616 is 6166092312.

It is a happy number.

2132906616 is a `hidden beast` number, since 2 + 1 + 32 + 9 + 0 + 6 + 616 = 666.

2132906616 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197271 + ... + 207801.

Almost surely, 22132906616 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 2132906616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018997800).

2132906616 is an abundant number, since it is smaller than the sum of its proper divisors (3905088984).

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

2132906616 is a wasteful number, since it uses less digits than its factorization.

2132906616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10669 (or 10662 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2132906616 is about 46183.4019535157. The cubic root of 2132906616 is about 1287.2333422809.

Adding to 2132906616 its reverse (6166092312), we get a palindrome (8298998928).

The spelling of 2132906616 in words is "two billion, one hundred thirty-two million, nine hundred six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 97 116 174 194 232 261 291 348 388 522 582 696 776 873 1044 1164 1746 2088 2328 2813 3492 5626 6984 8439 10531 11252 16878 21062 22504 25317 31593 33756 42124 50634 63186 67512 84248 94779 101268 126372 189558 202536 252744 305399 379116 610798 758232 916197 1021507 1221596 1832394 2043014 2443192 2748591 3064521 3664788 4086028 5497182 6129042 7329576 8172056 9193563 10994364 12258084 18387126 21988728 24516168 29623703 36774252 59247406 73548504 88871109 118494812 177742218 236989624 266613327 355484436 533226654 710968872 1066453308 2132906616