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2666252288 = 211721632
BaseRepresentation
bin1001111011101011…
…1100100000000000
320212211000122112202
42132322330200000
520430030033123
61120323012332
7123033525200
oct23672744000
96784018482
102666252288
111149036897
12624b0a0a8
133364cb99b
141b416a400
1510911aa28
hex9eebc800

2666252288 has 108 divisors (see below), whose sum is σ = 6239883195. Its totient is φ = 1135669248.

The previous prime is 2666252261. The next prime is 2666252317. The reversal of 2666252288 is 8822526662.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1333126144 + 1333126144 = 36512^2 + 36512^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=36512.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16357295 + ... + 16357457.

Almost surely, 22666252288 is an apocalyptic number.

2666252288 is a gapful number since it is divisible by the number (28) 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 2666252288

2666252288 is an abundant number, since it is smaller than the sum of its proper divisors (3573630907).

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

2666252288 is an frugal number, since it uses more digits than its factorization.

2666252288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 172 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 47.

The square root of 2666252288 is about 51635.7655893664. The cubic root of 2666252288 is about 1386.6507164503.

The spelling of 2666252288 in words is "two billion, six hundred sixty-six million, two hundred fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 163 196 224 256 326 392 448 512 652 784 896 1024 1141 1304 1568 1792 2048 2282 2608 3136 3584 4564 5216 6272 7168 7987 9128 10432 12544 14336 15974 18256 20864 25088 26569 31948 36512 41728 50176 53138 63896 73024 83456 100352 106276 127792 146048 166912 185983 212552 255584 292096 333824 371966 425104 511168 584192 743932 850208 1022336 1168384 1301881 1487864 1700416 2044672 2336768 2603762 2975728 3400832 4089344 5207524 5951456 6801664 8178688 10415048 11902912 13603328 16357376 20830096 23805824 27206656 41660192 47611648 54413312 83320384 95223296 166640768 190446592 333281536 380893184 666563072 1333126144 2666252288