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11643264450 = 2325283930839
BaseRepresentation
bin10101101011111111…
…00001110111000010
31010001102212010011200
422311333201313002
5142321133430300
65203203322030
7561350054256
oct126577416702
933042763150
1011643264450
114a35356a04
12230b380316
1311372908bc
147c64ba266
154822a6200
hex2b5fe1dc2

11643264450 has 72 divisors (see below), whose sum is σ = 31319870400. Its totient is φ = 3101069280.

The previous prime is 11643264449. The next prime is 11643264461. The reversal of 11643264450 is 5446234611.

11643264450 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 3 + 2 + 644 + 5 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 362131 + ... + 392969.

It is an arithmetic number, because the mean of its divisors is an integer number (434998200).

Almost surely, 211643264450 is an apocalyptic number.

11643264450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11643264450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15659935200).

11643264450 is an abundant number, since it is smaller than the sum of its proper divisors (19676605950).

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

11643264450 is a wasteful number, since it uses less digits than its factorization.

11643264450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31696 (or 31688 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 11643264450 in words is "eleven billion, six hundred forty-three million, two hundred sixty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 839 1678 2517 4195 5034 7551 8390 12585 15102 20975 25170 30839 37755 41950 61678 62925 75510 92517 125850 154195 185034 188775 277551 308390 377550 462585 555102 770975 925170 1387755 1541950 2312925 2775510 4625850 6938775 13877550 25873921 51747842 77621763 129369605 155243526 232865289 258739210 388108815 465730578 646848025 776217630 1164326445 1293696050 1940544075 2328652890 3881088150 5821632225 11643264450