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11664744024 = 23319375211327
BaseRepresentation
bin10101101110100010…
…11101111001011000
31010002221021101121110
422313101131321120
5142342133302044
65205251540320
7562030455033
oct126721357130
933087241543
1011664744024
114a4649791a
1223165ba6a0
13113b8715cb
147c92ac01a
154840ea6b9
hex2b745de58

11664744024 has 128 divisors (see below), whose sum is σ = 31610649600. Its totient is φ = 3574471680.

The previous prime is 11664744023. The next prime is 11664744053. The reversal of 11664744024 is 42044746611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11664744023) 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, 8789649 + ... + 8790975.

It is an arithmetic number, because the mean of its divisors is an integer number (246958200).

Almost surely, 211664744024 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 11664744024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15805324800).

11664744024 is an abundant number, since it is smaller than the sum of its proper divisors (19945905576).

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

11664744024 is a wasteful number, since it uses less digits than its factorization.

11664744024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 11664744024 in words is "eleven billion, six hundred sixty-four million, seven hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 228 296 444 456 521 703 888 1042 1327 1406 1563 2084 2109 2654 2812 3126 3981 4168 4218 5308 5624 6252 7962 8436 9899 10616 12504 15924 16872 19277 19798 25213 29697 31848 38554 39596 49099 50426 57831 59394 75639 77108 79192 98198 100852 115662 118788 147297 151278 154216 196396 201704 231324 237576 294594 302556 366263 392792 462648 589188 605112 691367 732526 932881 1098789 1178376 1382734 1465052 1865762 2074101 2197578 2765468 2798643 2930104 3731524 4148202 4395156 5530936 5597286 7463048 8296404 8790312 11194572 13135973 16592808 22389144 25580579 26271946 39407919 51161158 52543892 76741737 78815838 102322316 105087784 153483474 157631676 204644632 306966948 315263352 486031001 613933896 972062002 1458093003 1944124004 2916186006 3888248008 5832372012 11664744024