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2026866688 = 21171112853
BaseRepresentation
bin111100011001111…
…1000100000000000
312020020220111101121
41320303320200000
513122334213223
6533042442024
7101141040220
oct17063704000
95206814347
102026866688
11950127a40
12486963314
13263bc3102
14153290080
15bce1d15d
hex78cf8800

2026866688 has 96 divisors (see below), whose sum is σ = 5053164480. Its totient is φ = 789626880.

The previous prime is 2026866683. The next prime is 2026866689. The reversal of 2026866688 is 8866686202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2026866683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151270 + ... + 164122.

It is an arithmetic number, because the mean of its divisors is an integer number (52637130).

Almost surely, 22026866688 is an apocalyptic number.

2026866688 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 2026866688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526582240).

2026866688 is an abundant number, since it is smaller than the sum of its proper divisors (3026297792).

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

2026866688 is a wasteful number, since it uses less digits than its factorization.

2026866688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12893 (or 12873 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 52.

The square root of 2026866688 is about 45020.7362001112. The cubic root of 2026866688 is about 1265.5376256324.

The spelling of 2026866688 in words is "two billion, twenty-six million, eight hundred sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1024 1232 1408 1792 2048 2464 2816 3584 4928 5632 7168 9856 11264 12853 14336 19712 22528 25706 39424 51412 78848 89971 102824 141383 157696 179942 205648 282766 359884 411296 565532 719768 822592 989681 1131064 1439536 1645184 1979362 2262128 2879072 3290368 3958724 4524256 5758144 6580736 7917448 9048512 11516288 13161472 15834896 18097024 23032576 26322944 31669792 36194048 46065152 63339584 72388096 92130304 126679168 144776192 184260608 253358336 289552384 506716672 1013433344 2026866688