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2606040164 = 227132691797
BaseRepresentation
bin1001101101010101…
…0000010001100100
320201121201120001002
42123111100101210
520314121241124
61110332252432
7121402655510
oct23325202144
96647646032
102606040164
111118050602
12608911118
13326ba9300
141aa175140
15103bc50ae
hex9b550464

2606040164 has 72 divisors (see below), whose sum is σ = 5659109568. Its totient is φ = 1028177280.

The previous prime is 2606040163. The next prime is 2606040181. The reversal of 2606040164 is 4610406062.

It is a super-2 number, since 2×26060401642 = 13582890672762293792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2606040163) 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 23 ways as a sum of consecutive naturals, for example, 3269414 + ... + 3270210.

It is an arithmetic number, because the mean of its divisors is an integer number (78598744).

Almost surely, 22606040164 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 2606040164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829554784).

2606040164 is an abundant number, since it is smaller than the sum of its proper divisors (3053069404).

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

2606040164 is a wasteful number, since it uses less digits than its factorization.

2606040164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 2606040164 is about 51049.3894576615. The cubic root of 2606040164 is about 1376.1328693862.

The spelling of 2606040164 in words is "two billion, six hundred six million, forty thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 691 797 1183 1382 1594 2366 2764 3188 4732 4837 5579 8983 9674 10361 11158 17966 19348 20722 22316 35932 41444 62881 72527 116779 125762 134693 145054 233558 251524 269386 290108 467116 538772 550727 817453 942851 1101454 1634906 1885702 2202908 3269812 3771404 3855089 7159451 7710178 14318902 15420356 28637804 50116157 93072863 100232314 186145726 200464628 372291452 651510041 1303020082 2606040164