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11049373456 = 2411223892
BaseRepresentation
bin10100100101001100…
…00000111100010000
31001112001100022212221
422102212000330100
5140112114422311
65024230230424
7540546060532
oct122246007420
931461308787
1011049373456
1147600a0900
1221844b5414
131071223804
1476b683852
1544a093671
hex292980f10

11049373456 has 45 divisors (see below), whose sum is σ = 23541138453. Its totient is φ = 5020340160.

The previous prime is 11049373453. The next prime is 11049373537. The reversal of 11049373456 is 65437394011.

The square root of 11049373456 is 105116.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2511613456 + 8537760000 = 50116^2 + 92400^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11049373453) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4623910 + ... + 4626298.

Almost surely, 211049373456 is an apocalyptic number.

11049373456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11049373456 is the 105116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11049373456

11049373456 is an abundant number, since it is smaller than the sum of its proper divisors (12491764997).

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

11049373456 is an frugal number, since it uses more digits than its factorization.

11049373456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4808 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 11049373456 in words is "eleven billion, forty-nine million, three hundred seventy-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 2389 4778 9556 19112 26279 38224 52558 105116 210232 289069 420464 578138 1156276 2312552 4625104 5707321 11414642 22829284 45658568 62780531 91317136 125561062 251122124 502244248 690585841 1004488496 1381171682 2762343364 5524686728 11049373456