Search a number
-
+
4451100012 = 223537312277
BaseRepresentation
bin1000010010100111…
…00110010101101100
3102111012112022100000
410021103212111230
533103440200022
62013402304300
7215205503652
oct41123462554
912435468300
104451100012
111984591357
12a427b8090
1355c214cb8
1430321add2
151b0b7e6ac
hex1094e656c

4451100012 has 72 divisors (see below), whose sum is σ = 11700344656. Its totient is φ = 1479601728.

The previous prime is 4451099971. The next prime is 4451100023. The reversal of 4451100012 is 2100011544.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356418 + ... + 368694.

Almost surely, 24451100012 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 4451100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850172328).

4451100012 is an abundant number, since it is smaller than the sum of its proper divisors (7249244644).

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

4451100012 is a wasteful number, since it uses less digits than its factorization.

4451100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12669 (or 12655 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 4451100012 is about 66716.5647496932. The cubic root of 4451100012 is about 1644.9616756130.

Adding to 4451100012 its reverse (2100011544), we get a palindrome (6551111556).

The spelling of 4451100012 in words is "four billion, four hundred fifty-one million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 373 486 746 972 1119 1492 2238 3357 4476 6714 10071 12277 13428 20142 24554 30213 36831 40284 49108 60426 73662 90639 110493 120852 147324 181278 220986 331479 362556 441972 662958 994437 1325916 1988874 2983311 3977748 4579321 5966622 9158642 11933244 13737963 18317284 27475926 41213889 54951852 82427778 123641667 164855556 247283334 370925001 494566668 741850002 1112775003 1483700004 2225550006 4451100012