Search a number
-
+
10554984448 = 2116178353
BaseRepresentation
bin10011101010010000…
…00100100000000000
31000020121001202122221
421311020010200000
5133104034000243
64503205540424
7522363613261
oct116510044000
930217052587
1010554984448
114527017048
122066a14714
13cc2984638
14721b4c968
1541b987bed
hex275204800

10554984448 has 48 divisors (see below), whose sum is σ = 21141551340. Its totient is φ = 5268307968.

The previous prime is 10554984403. The next prime is 10554984469. The reversal of 10554984448 is 84448945501.

It can be written as a sum of positive squares in 2 ways, for example, as 10025616384 + 529368064 = 100128^2 + 23008^2 .

It is a super-2 number, since 2×105549844482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10554984395 and 10554984404.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1259440 + ... + 1267792.

Almost surely, 210554984448 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 10554984448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10570775670).

10554984448 is an abundant number, since it is smaller than the sum of its proper divisors (10586566892).

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

10554984448 is an frugal number, since it uses more digits than its factorization.

10554984448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8992 (or 8972 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 10554984448 in words is "ten billion, five hundred fifty-four million, nine hundred eighty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 617 1024 1234 2048 2468 4936 8353 9872 16706 19744 33412 39488 66824 78976 133648 157952 267296 315904 534592 631808 1069184 1263616 2138368 4276736 5153801 8553472 10307602 17106944 20615204 41230408 82460816 164921632 329843264 659686528 1319373056 2638746112 5277492224 10554984448