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2068426880 = 27513248609
BaseRepresentation
bin111101101001001…
…1011000010000000
312100011002222020222
41323102123002000
513214004130010
6541125322212
7102154224032
oct17322330200
95304088228
102068426880
11971633803
12498866368
1326c6b4b40
141589cbc52
15c18cc355
hex7b49b080

2068426880 has 64 divisors (see below), whose sum is σ = 5325226200. Its totient is φ = 763723776.

The previous prime is 2068426859. The next prime is 2068426889. The reversal of 2068426880 is 886248602.

It can be written as a sum of positive squares in 4 ways, for example, as 1829786176 + 238640704 = 42776^2 + 15448^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2068426889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115985 + ... + 132624.

Almost surely, 22068426880 is an apocalyptic number.

2068426880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2068426880 is an abundant number, since it is smaller than the sum of its proper divisors (3256799320).

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

2068426880 is a wasteful number, since it uses less digits than its factorization.

2068426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248641 (or 248629 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The square root of 2068426880 is about 45479.9613016546. The cubic root of 2068426880 is about 1274.1289716612.

The spelling of 2068426880 in words is "two billion, sixty-eight million, four hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 248609 497218 994436 1243045 1988872 2486090 3231917 3977744 4972180 6463834 7955488 9944360 12927668 15910976 16159585 19888720 25855336 31821952 32319170 39777440 51710672 64638340 79554880 103421344 129276680 159109760 206842688 258553360 413685376 517106720 1034213440 2068426880