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2669281056 = 2532134117389
BaseRepresentation
bin1001111100011001…
…1111111100100000
320220000201112020100
42133012133330200
520431313443211
61120511542400
7123101341341
oct23706377440
96800645210
102669281056
11114a815402
12625b2aa00
1333701c460
141b47180c8
15109518156
hex9f19ff20

2669281056 has 144 divisors (see below), whose sum is σ = 8374537080. Its totient is φ = 801239040.

The previous prime is 2669281051. The next prime is 2669281057. The reversal of 2669281056 is 6501829662.

It can be written as a sum of positive squares in 4 ways, for example, as 1291683600 + 1377597456 = 35940^2 + 37116^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×26692810562 = 14250122711840950272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2669281051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144810 + ... + 162198.

Almost surely, 22669281056 is an apocalyptic number.

2669281056 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 2669281056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187268540).

2669281056 is an abundant number, since it is smaller than the sum of its proper divisors (5705256024).

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

2669281056 is a wasteful number, since it uses less digits than its factorization.

2669281056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17459 (or 17448 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2669281056 is about 51665.0854639765. The cubic root of 2669281056 is about 1387.1755797635.

The spelling of 2669281056 in words is "two billion, six hundred sixty-nine million, two hundred eighty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 41 48 52 72 78 82 96 104 117 123 144 156 164 208 234 246 288 312 328 369 416 468 492 533 624 656 738 936 984 1066 1248 1312 1476 1599 1872 1968 2132 2952 3198 3744 3936 4264 4797 5904 6396 8528 9594 11808 12792 17056 17389 19188 25584 34778 38376 51168 52167 69556 76752 104334 139112 153504 156501 208668 226057 278224 313002 417336 452114 556448 626004 678171 712949 834672 904228 1252008 1356342 1425898 1669344 1808456 2034513 2138847 2504016 2712684 2851796 3616912 4069026 4277694 5008032 5425368 5703592 6416541 7233824 8138052 8555388 9268337 10850736 11407184 12833082 16276104 17110776 18536674 21701472 22814368 25666164 27805011 32552208 34221552 37073348 51332328 55610022 65104416 68443104 74146696 83415033 102664656 111220044 148293392 166830066 205329312 222440088 296586784 333660132 444880176 667320264 889760352 1334640528 2669281056