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2726306016 = 25374319413
BaseRepresentation
bin1010001010000000…
…0010000011100000
321001000000200202220
42202200002003200
521040413243031
61130310111040
7124363135020
oct24240020340
97030020686
102726306016
111179a24075
1264104b480
13345a97235
141bc11da80
1510e52e596
hexa28020e0

2726306016 has 96 divisors (see below), whose sum is σ = 8198765568. Its totient is φ = 777054720.

The previous prime is 2726306003. The next prime is 2726306021. The reversal of 2726306016 is 6106036272.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284926 + ... + 294338.

It is an arithmetic number, because the mean of its divisors is an integer number (85403808).

Almost surely, 22726306016 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 2726306016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099382784).

2726306016 is an abundant number, since it is smaller than the sum of its proper divisors (5472459552).

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

2726306016 is a wasteful number, since it uses less digits than its factorization.

2726306016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9864 (or 9856 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2726306016 is about 52214.0404106022. The cubic root of 2726306016 is about 1396.9843277983.

The spelling of 2726306016 in words is "two billion, seven hundred twenty-six million, three hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 431 672 862 1293 1724 2586 3017 3448 5172 6034 6896 9051 9413 10344 12068 13792 18102 18826 20688 24136 28239 36204 37652 41376 48272 56478 65891 72408 75304 96544 112956 131782 144816 150608 197673 225912 263564 289632 301216 395346 451824 527128 790692 903648 1054256 1581384 2108512 3162768 4057003 6325536 8114006 12171009 16228012 24342018 28399021 32456024 48684036 56798042 64912048 85197063 97368072 113596084 129824096 170394126 194736144 227192168 340788252 389472288 454384336 681576504 908768672 1363153008 2726306016