Search a number
-
+
2011621312 = 26103401761
BaseRepresentation
bin111011111100110…
…1110011111000000
312012012012221200001
41313321232133000
513104433340222
6531340005344
7100564333111
oct16771563700
95165187601
102011621312
11942564958
12481830854
132609b5b8c
14151242208
15bb90ae27
hex77e6e7c0

2011621312 has 56 divisors (see below), whose sum is σ = 4045927392. Its totient is φ = 992256000.

The previous prime is 2011621309. The next prime is 2011621321. The reversal of 2011621312 is 2131261102.

It is a self number, because there is not a number n which added to its sum of digits gives 2011621312.

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 7 ways as a sum of consecutive naturals, for example, 2643012 + ... + 2643772.

Almost surely, 22011621312 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 2011621312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022963696).

2011621312 is an abundant number, since it is smaller than the sum of its proper divisors (2034306080).

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

2011621312 is a wasteful number, since it uses less digits than its factorization.

2011621312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2011621312 is about 44851.1015695267. The cubic root of 2011621312 is about 1262.3566610719.

Adding to 2011621312 its reverse (2131261102), we get a palindrome (4142882414).

The spelling of 2011621312 in words is "two billion, eleven million, six hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 103 206 401 412 761 802 824 1522 1604 1648 3044 3208 3296 6088 6416 6592 12176 12832 24352 25664 41303 48704 78383 82606 156766 165212 305161 313532 330424 610322 627064 660848 1220644 1254128 1321696 2441288 2508256 2643392 4882576 5016512 9765152 19530304 31431583 62863166 125726332 251452664 502905328 1005810656 2011621312