Search a number
-
+
2666032116 = 22311311076089
BaseRepresentation
bin1001111011101000…
…0110101111110100
320212210121110112020
42132322012233310
520430001011431
61120314153140
7123031620246
oct23672065764
96783543466
102666032116
1111489a6430
12624a227b0
133364526c7
141b4110096
151090c5696
hex9ee86bf4

2666032116 has 96 divisors (see below), whose sum is σ = 7071805440. Its totient is φ = 774393600.

The previous prime is 2666032087. The next prime is 2666032181. The reversal of 2666032116 is 6112306662.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434800 + ... + 440888.

It is an arithmetic number, because the mean of its divisors is an integer number (73664640).

Almost surely, 22666032116 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 2666032116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535902720).

2666032116 is an abundant number, since it is smaller than the sum of its proper divisors (4405773324).

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

2666032116 is a wasteful number, since it uses less digits than its factorization.

2666032116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6245 (or 6243 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2666032116 is about 51633.6335734761. The cubic root of 2666032116 is about 1386.6125467609.

Adding to 2666032116 its reverse (6112306662), we get a palindrome (8778338778).

The spelling of 2666032116 in words is "two billion, six hundred sixty-six million, thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 107 124 132 186 214 321 341 372 428 642 682 1023 1177 1284 1364 2046 2354 3317 3531 4092 4708 6089 6634 7062 9951 12178 13268 14124 18267 19902 24356 36487 36534 39804 66979 72974 73068 109461 133958 145948 188759 200937 218922 267916 377518 401874 437844 566277 651523 755036 803748 1132554 1303046 1954569 2076349 2265108 2606092 3909138 4152698 6229047 7166753 7818276 8305396 12458094 14333506 20197213 21500259 24916188 28667012 40394426 43000518 60591639 80788852 86001036 121183278 222169343 242366556 444338686 666508029 888677372 1333016058 2666032116