Search a number
-
+
6121001216 = 28112173651
BaseRepresentation
bin1011011001101011…
…10001000100000000
3120210120202002010202
411230311301010000
5100013434014331
62451214144332
7304453436411
oct55465610400
916716662122
106121001216
1126611668a0
121229ab20a8
13767183615
14420d09808
1525c589ecb
hex16cd71100

6121001216 has 36 divisors (see below), whose sum is σ = 13328834064. Its totient is φ = 2782272000.

The previous prime is 6121001191. The next prime is 6121001219.

6121001216 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (6121001219) 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 3 ways as a sum of consecutive naturals, for example, 1084010 + ... + 1089641.

Almost surely, 26121001216 is an apocalyptic number.

It is an amenable number.

6121001216 is an abundant number, since it is smaller than the sum of its proper divisors (7207832848).

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

6121001216 is a wasteful number, since it uses less digits than its factorization.

6121001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173678 (or 2173664 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 6121001216 is about 78236.8277475512. The cubic root of 6121001216 is about 1829.2545976325.

It can be divided in two parts, 612100 and 1216, that added together give a palindrome (613316).

The spelling of 6121001216 in words is "six billion, one hundred twenty-one million, one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 2173651 4347302 8694604 17389208 23910161 34778416 47820322 69556832 95640644 139113664 191281288 278227328 382562576 556454656 765125152 1530250304 3060500608 6121001216