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2991278106 = 233613472617
BaseRepresentation
bin1011001001001011…
…0100100000011010
321201110121200011000
42302102310200122
522111231344411
61212453245430
7134061305265
oct26222644032
97643550130
102991278106
1112a5553573
126b5933876
1338894c65b
142053b5cdc
1512791e956
hexb24b481a

2991278106 has 64 divisors (see below), whose sum is σ = 6778316160. Its totient is φ = 977546880.

The previous prime is 2991278099. The next prime is 2991278113. The reversal of 2991278106 is 6018721992.

It is an interprime number because it is at equal distance from previous prime (2991278099) and next prime (2991278113).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1141710 + ... + 1144326.

It is an arithmetic number, because the mean of its divisors is an integer number (105911190).

Almost surely, 22991278106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2991278106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389158080).

2991278106 is an abundant number, since it is smaller than the sum of its proper divisors (3787038054).

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

2991278106 is a wasteful number, since it uses less digits than its factorization.

2991278106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 2991278106 is about 54692.5781619408. The cubic root of 2991278106 is about 1440.8505305246.

The spelling of 2991278106 in words is "two billion, nine hundred ninety-one million, two hundred seventy-eight thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 347 366 549 694 1041 1098 1647 2082 2617 3123 3294 5234 6246 7851 9369 15702 18738 21167 23553 42334 47106 63501 70659 127002 141318 159637 190503 319274 381006 478911 571509 908099 957822 1143018 1436733 1816198 2724297 2873466 4310199 5448594 8172891 8620398 16345782 24518673 49037346 55394039 110788078 166182117 332364234 498546351 997092702 1495639053 2991278106