Search a number
-
+
2660081664 = 2133176367
BaseRepresentation
bin1001111010001101…
…1010000000000000
320212101102011001010
42132203122000000
520421440103124
61115542440520
7122630215062
oct23643320000
96771364033
102660081664
1111456017a9
12622a33140
1333514b126
141b3401732
151087ec529
hex9e8da000

2660081664 has 112 divisors (see below), whose sum is σ = 7511539968. Its totient is φ = 834404352.

The previous prime is 2660081617. The next prime is 2660081707. The reversal of 2660081664 is 4661800662.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414609 + ... + 420975.

Almost surely, 22660081664 is an apocalyptic number.

2660081664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2660081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755769984).

2660081664 is an abundant number, since it is smaller than the sum of its proper divisors (4851458304).

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

2660081664 is an equidigital number, since it uses as much as digits as its factorization.

2660081664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6413 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 2660081664 is about 51575.9795253566. The cubic root of 2660081664 is about 1385.5801613966.

The spelling of 2660081664 in words is "two billion, six hundred sixty million, eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 6144 6367 6528 8192 8704 12288 12734 13056 17408 19101 24576 25468 26112 34816 38202 50936 52224 69632 76404 101872 104448 108239 139264 152808 203744 208896 216478 305616 324717 407488 417792 432956 611232 649434 814976 865912 1222464 1298868 1629952 1731824 2444928 2597736 3259904 3463648 4889856 5195472 6519808 6927296 9779712 10390944 13039616 13854592 19559424 20781888 26079232 27709184 39118848 41563776 52158464 55418368 78237696 83127552 110836736 156475392 166255104 221673472 332510208 443346944 665020416 886693888 1330040832 2660081664