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11606421130304 = 26711131947202877
BaseRepresentation
bin1010100011100101010010…
…0110111100110001000000
31112002120012102222221122112
42220321110212330301000
53010124422302132204
640403525524554452
72305351635556010
oct250712446746100
945076172887575
1011606421130304
11377528a170770
12137549ab52a28
13662633479640
142c1a7a52dc40
15151d9a0e926e
hexa8e549bcc40

11606421130304 has 448 divisors, whose sum is σ = 33243686461440. Its totient is φ = 3870289797120.

The previous prime is 11606421130279. The next prime is 11606421130321. The reversal of 11606421130304 is 40303112460611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×116064211303042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 57107714 + ... + 57310590.

It is an arithmetic number, because the mean of its divisors is an integer number (74204657280).

Almost surely, 211606421130304 is an apocalyptic number.

11606421130304 is a gapful number since it is divisible by the number (14) 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 11606421130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16621843230720).

11606421130304 is an abundant number, since it is smaller than the sum of its proper divisors (21637265331136).

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

11606421130304 is a wasteful number, since it uses less digits than its factorization.

11606421130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202986 (or 202976 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 11606421130304 its reverse (40303112460611), we get a palindrome (51909533590915).

The spelling of 11606421130304 in words is "eleven trillion, six hundred six billion, four hundred twenty-one million, one hundred thirty thousand, three hundred four".