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11723471136 = 2532134636763
BaseRepresentation
bin10101110101100010…
…11111100100100000
31010021000210001001200
422322301133210200
5143002202034021
65215150401200
7563342601066
oct127261374440
933230701050
1011723471136
114a76659423
122332200200
13114aa94090
147d2dd8036
1548934b126
hex2bac5f920

11723471136 has 144 divisors (see below), whose sum is σ = 35985995136. Its totient is φ = 3598898688.

The previous prime is 11723471131. The next prime is 11723471147. The reversal of 11723471136 is 63117432711.

It is a happy number.

11723471136 is a `hidden beast` number, since 1 + 172 + 3 + 471 + 13 + 6 = 666.

11723471136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11723471136.

It is not an unprimeable number, because it can be changed into a prime (11723471131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1730091 + ... + 1736853.

It is an arithmetic number, because the mean of its divisors is an integer number (249902744).

Almost surely, 211723471136 is an apocalyptic number.

11723471136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11723471136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992997568).

11723471136 is an abundant number, since it is smaller than the sum of its proper divisors (24262524000).

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

11723471136 is a wasteful number, since it uses less digits than its factorization.

11723471136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7255 (or 7244 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The spelling of 11723471136 in words is "eleven billion, seven hundred twenty-three million, four hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 463 468 624 926 936 1248 1389 1852 1872 2778 3704 3744 4167 5556 6019 6763 7408 8334 11112 12038 13526 14816 16668 18057 20289 22224 24076 27052 33336 36114 40578 44448 48152 54104 54171 60867 66672 72228 81156 87919 96304 108208 108342 121734 133344 144456 162312 175838 192608 216416 216684 243468 263757 288912 324624 351676 433368 486936 527514 577824 649248 703352 791271 866736 973872 1055028 1406704 1582542 1733472 1947744 2110056 2813408 3131269 3165084 4220112 6262538 6330168 8440224 9393807 12525076 12660336 18787614 25050152 25320672 28181421 37575228 40706497 50100304 56362842 75150456 81412994 100200608 112725684 122119491 150300912 162825988 225451368 244238982 300601824 325651976 366358473 450902736 488477964 651303952 732716946 901805472 976955928 1302607904 1465433892 1953911856 2930867784 3907823712 5861735568 11723471136