Search a number
-
+
2121044416 = 26832271759
BaseRepresentation
bin111111001101100…
…1001000111000000
312110211010012221121
41332123021013000
513320441410131
6550245202024
7103363402651
oct17633110700
95424105847
102121044416
11999302077
124b2400314
1327a57878a
141619a7528
15c6322911
hex7e6c91c0

2121044416 has 56 divisors (see below), whose sum is σ = 4280855040. Its totient is φ = 1042536192.

The previous prime is 2121044363. The next prime is 2121044447. The reversal of 2121044416 is 6144401212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1204945 + ... + 1206703.

It is an arithmetic number, because the mean of its divisors is an integer number (76443840).

Almost surely, 22121044416 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 2121044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140427520).

2121044416 is an abundant number, since it is smaller than the sum of its proper divisors (2159810624).

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

2121044416 is a wasteful number, since it uses less digits than its factorization.

2121044416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2121044416 is about 46054.7979693756. The cubic root of 2121044416 is about 1284.8425806040.

Adding to 2121044416 its reverse (6144401212), we get a palindrome (8265445628).

The spelling of 2121044416 in words is "two billion, one hundred twenty-one million, forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 83 166 227 332 454 664 908 1328 1759 1816 2656 3518 3632 5312 7036 7264 14072 14528 18841 28144 37682 56288 75364 112576 145997 150728 291994 301456 399293 583988 602912 798586 1167976 1205824 1597172 2335952 3194344 4671904 6388688 9343808 12777376 25554752 33141319 66282638 132565276 265130552 530261104 1060522208 2121044416