Search a number
-
+
6121679660 = 2254116014663
BaseRepresentation
bin1011011001110000…
…10110101100101100
3120210122000112210022
411230320112230230
5100014122222120
62451240501312
7304462263365
oct55470265454
916718015708
106121679660
11266158a598
12122a17a838
13767360375
14421044b6c
1525c671025
hex16ce16b2c

6121679660 has 48 divisors (see below), whose sum is σ = 13180128192. Its totient is φ = 2386944000.

The previous prime is 6121679657. The next prime is 6121679693. The reversal of 6121679660 is 669761216.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1310489 + ... + 1315151.

It is an arithmetic number, because the mean of its divisors is an integer number (274586004).

Almost surely, 26121679660 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 6121679660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590064096).

6121679660 is an abundant number, since it is smaller than the sum of its proper divisors (7058448532).

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

6121679660 is a wasteful number, since it uses less digits than its factorization.

6121679660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6314 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 6121679660 is about 78241.1634627195. The cubic root of 6121679660 is about 1829.3221792211.

The spelling of 6121679660 in words is "six billion, one hundred twenty-one million, six hundred seventy-nine thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1601 3202 4663 6404 8005 9326 16010 18652 23315 32020 46630 65641 93260 131282 191183 262564 328205 382366 656410 764732 955915 1312820 1911830 3823660 7465463 14930926 29861852 37327315 74654630 149309260 306083983 612167966 1224335932 1530419915 3060839830 6121679660