Search a number
-
+
2178038044 = 2272133132731
BaseRepresentation
bin1000000111010010…
…0011100100011100
312121210100210111201
42001310203210130
513430034204134
61000042525244
7104655006100
oct20164434434
95553323451
102178038044
11a1849a246
12509506824
13289312210
141693a1900
15cb32e914
hex81d2391c

2178038044 has 72 divisors (see below), whose sum is σ = 4791938928. Its totient is φ = 858574080.

The previous prime is 2178038029. The next prime is 2178038047. The reversal of 2178038044 is 4408308712.

It is a super-2 number, since 2×21780380442 = 9487699442222691872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2178037994 and 2178038012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2178038047) 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 23 ways as a sum of consecutive naturals, for example, 796159 + ... + 798889.

Almost surely, 22178038044 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 2178038044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395969464).

2178038044 is an abundant number, since it is smaller than the sum of its proper divisors (2613900884).

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

2178038044 is a wasteful number, since it uses less digits than its factorization.

2178038044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 2178038044 is about 46669.4551500229. The cubic root of 2178038044 is about 1296.2491574701.

The spelling of 2178038044 in words is "two billion, one hundred seventy-eight million, thirty-eight thousand, forty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 313 364 626 637 1252 1274 2191 2548 2731 4069 4382 5462 8138 8764 10924 15337 16276 19117 28483 30674 35503 38234 56966 61348 71006 76468 113932 133819 142012 199381 248521 267638 398762 497042 535276 797524 854803 994084 1709606 1739647 3419212 3479294 5983621 6958588 11112439 11967242 22224878 23934484 41885347 44449756 77787073 83770694 155574146 167541388 311148292 544509511 1089019022 2178038044