Search a number
-
+
1881320064 = 273133112157
BaseRepresentation
bin111000000100010…
…1010101010000000
311212010000221221220
41300020222222000
512323104220224
6510403115040
764422646101
oct16010525200
94763027856
101881320064
11885a57678
12446072a80
1323c9c3250
1413bc043a8
15b026d279
hex7022aa80

1881320064 has 128 divisors (see below), whose sum is σ = 5555719680. Its totient is φ = 560148480.

The previous prime is 1881320027. The next prime is 1881320069. The reversal of 1881320064 is 4600231881.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1881320069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148674 + ... + 160830.

It is an arithmetic number, because the mean of its divisors is an integer number (43404060).

Almost surely, 21881320064 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 1881320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777859840).

1881320064 is an abundant number, since it is smaller than the sum of its proper divisors (3674399616).

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

1881320064 is a wasteful number, since it uses less digits than its factorization.

1881320064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12218 (or 12206 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1881320064 is about 43374.1866090881. The cubic root of 1881320064 is about 1234.4899605661.

The spelling of 1881320064 in words is "one billion, eight hundred eighty-one million, three hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 312 372 384 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1664 1984 2418 2496 2976 3224 3968 4836 4992 5952 6448 9672 11904 12157 12896 19344 24314 25792 36471 38688 48628 51584 72942 77376 97256 145884 154752 158041 194512 291768 316082 376867 389024 474123 583536 632164 753734 778048 948246 1130601 1167072 1264328 1507468 1556096 1896492 2261202 2334144 2528656 3014936 3792984 4522404 4668288 4899271 5057312 6029872 7585968 9044808 9798542 10114624 12059744 14697813 15171936 18089616 19597084 20229248 24119488 29395626 30343872 36179232 39194168 48238976 58791252 60687744 72358464 78388336 117582504 144716928 156776672 235165008 313553344 470330016 627106688 940660032 1881320064