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11306494224 = 243288612
BaseRepresentation
bin10101000011110101…
…10110100100010000
31002011222011102021100
422201322312210100
5141123430303344
65105533224400
7550120421004
oct124172664420
932158142240
1011306494224
114882248503
122236632100
1310b258a38c
14793894704
15462932569
hex2a1eb6910

11306494224 has 45 divisors (see below), whose sum is σ = 31646051749. Its totient is φ = 3768406080.

The previous prime is 11306494211. The next prime is 11306494247. The reversal of 11306494224 is 42249460311.

The square root of 11306494224 is 106332.

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

11306494224 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 649 + 4 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11179255824 + 127238400 = 105732^2 + 11280^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1271554 + ... + 1280414.

Almost surely, 211306494224 is an apocalyptic number.

11306494224 is the 106332-nd square number.

It is an amenable number.

11306494224 is an abundant number, since it is smaller than the sum of its proper divisors (20339557525).

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

11306494224 is an frugal number, since it uses more digits than its factorization.

11306494224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17736 (or 8866 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 11306494224 by its sum of digits (36), we get a square (407033792064 = 6379922).

11306494224 divided by its sum of digits (36) gives a square (314069284 = 177222).

The spelling of 11306494224 in words is "eleven billion, three hundred six million, four hundred ninety-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 8861 17722 26583 35444 53166 70888 79749 106332 141776 159498 212664 318996 425328 637992 1275984 78517321 157034642 235551963 314069284 471103926 628138568 706655889 942207852 1256277136 1413311778 1884415704 2826623556 3768831408 5653247112 11306494224