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2766538112 = 27132177523
BaseRepresentation
bin1010010011100110…
…0000010110000000
321010210201200211112
42210321200112000
521131213204422
61134304302452
7125362120532
oct24471402600
97123650745
102766538112
11119a703038
12652611a28
13351212600
141c35d3852
15112d29ee2
hexa4e60580

2766538112 has 96 divisors (see below), whose sum is σ = 6319934280. Its totient is φ = 1201594368.

The previous prime is 2766538097. The next prime is 2766538139. The reversal of 2766538112 is 2118356672.

It is a self number, because there is not a number n which added to its sum of digits gives 2766538112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363983 + ... + 371505.

Almost surely, 22766538112 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 2766538112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159967140).

2766538112 is an abundant number, since it is smaller than the sum of its proper divisors (3553396168).

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

2766538112 is a wasteful number, since it uses less digits than its factorization.

2766538112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7580 (or 7555 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 2766538112 is about 52597.8907561891. The cubic root of 2766538112 is about 1403.8225655973.

The spelling of 2766538112 in words is "two billion, seven hundred sixty-six million, five hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 169 208 221 272 338 416 442 544 676 832 884 1088 1352 1664 1768 2176 2704 2873 3536 5408 5746 7072 7523 10816 11492 14144 15046 21632 22984 28288 30092 45968 60184 91936 97799 120368 127891 183872 195598 240736 255782 367744 391196 481472 511564 782392 962944 1023128 1271387 1564784 1662583 2046256 2542774 3129568 3325166 4092512 5085548 6259136 6650332 8185024 10171096 12518272 13300664 16370048 20342192 21613579 26601328 40684384 43227158 53202656 81368768 86454316 106405312 162737536 172908632 212810624 345817264 691634528 1383269056 2766538112