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11204451544 = 231113192292251
BaseRepresentation
bin10100110111101011…
…00101110011011000
31001220212011010000211
422123311211303120
5140421314422134
65051450140504
7544441160326
oct123365456330
931825133024
1011204451544
11482a691310
122208421734
1310973acbb0
147840d0d16
154589c7764
hex29bd65cd8

11204451544 has 128 divisors (see below), whose sum is σ = 26105184000. Its totient is φ = 4432320000.

The previous prime is 11204451539. The next prime is 11204451547. The reversal of 11204451544 is 44515440211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11204451547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4976419 + ... + 4978669.

It is an arithmetic number, because the mean of its divisors is an integer number (203946750).

Almost surely, 211204451544 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 11204451544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13052592000).

11204451544 is an abundant number, since it is smaller than the sum of its proper divisors (14900732456).

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

11204451544 is a wasteful number, since it uses less digits than its factorization.

11204451544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 11204451544 its reverse (44515440211), we get a palindrome (55719891755).

The spelling of 11204451544 in words is "eleven billion, two hundred four million, four hundred fifty-one thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 13 19 22 26 38 44 52 76 88 104 143 152 209 229 247 286 418 458 494 572 836 916 988 1144 1672 1832 1976 2251 2519 2717 2977 4351 4502 5038 5434 5954 8702 9004 10076 10868 11908 17404 18008 20152 21736 23816 24761 29263 32747 34808 42769 47861 49522 56563 58526 65494 85538 95722 99044 113126 117052 130988 171076 191444 198088 226252 234104 261976 321893 342152 382888 452504 470459 515479 555997 622193 643786 940918 1030958 1111994 1244386 1287572 1881836 2061916 2223988 2488772 2575144 3763672 4123832 4447976 4977544 5670269 6115967 6701227 9794101 11340538 12231934 13402454 19588202 22681076 24463868 26804908 39176404 45362152 48927736 53609816 73713497 78352808 107735111 127323313 147426994 215470222 254646626 294853988 430940444 509293252 589707976 861880888 1018586504 1400556443 2801112886 5602225772 11204451544