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14570421264 = 2434724792
BaseRepresentation
bin11011001000111011…
…01111110000010000
31101121102211002110000
431210131233300100
5214320011440024
610405450410000
71024032352200
oct154435576020
941542732400
1014570421264
1161a7694173
1229a7730900
1314b284c459
149c3160400
155a425bcc9
hex36476fc10

14570421264 has 225 divisors, whose sum is σ = 49158719247. Its totient is φ = 4154286528.

The previous prime is 14570421247. The next prime is 14570421269. The reversal of 14570421264 is 46212407541.

The square root of 14570421264 is 120708.

It is a perfect power (a square), and thus also a powerful number.

14570421264 is a `hidden beast` number, since 1 + 4 + 570 + 4 + 21 + 2 + 64 = 666.

14570421264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (14570421269) 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 44 ways as a sum of consecutive naturals, for example, 30418177 + ... + 30418655.

Almost surely, 214570421264 is an apocalyptic number.

14570421264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14570421264 is the 120708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14570421264

14570421264 is an abundant number, since it is smaller than the sum of its proper divisors (34588297983).

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

14570421264 is an frugal number, since it uses more digits than its factorization.

14570421264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 14570421264 by its sum of digits (36), we get a square (524535165504 = 7242482).

14570421264 divided by its sum of digits (36) gives a square (404733924 = 201182).

The spelling of 14570421264 in words is "fourteen billion, five hundred seventy million, four hundred twenty-one thousand, two hundred sixty-four".