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14437253376 = 283472131093
BaseRepresentation
bin11010111001000011…
…10000000100000000
31101021011020110110000
431130201300010000
5214031414102001
610344332240000
71020524425500
oct153441600400
941234213400
1014437253376
1161394a9167
12296b010000
131491094aa0
149ad5b7a00
15597704a86
hex35c870100

14437253376 has 540 divisors, whose sum is σ = 53979204972. Its totient is φ = 3804143616.

The previous prime is 14437253333. The next prime is 14437253399. The reversal of 14437253376 is 67335273441.

14437253376 is a `hidden beast` number, since 1 + 4 + 43 + 7 + 2 + 533 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9169977600 + 5267275776 = 95760^2 + 72576^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13208286 + ... + 13209378.

Almost surely, 214437253376 is an apocalyptic number.

14437253376 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 14437253376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26989602486).

14437253376 is an abundant number, since it is smaller than the sum of its proper divisors (39541951596).

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

14437253376 is a wasteful number, since it uses less digits than its factorization.

14437253376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1118 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The spelling of 14437253376 in words is "fourteen billion, four hundred thirty-seven million, two hundred fifty-three thousand, three hundred seventy-six".