Search a number
-
+
14627993472 = 27352916217
BaseRepresentation
bin11011001111110010…
…10111011110000000
31101202110011001200000
431213321113132000
5214424231242342
610415304400000
71025331615201
oct154771273600
941673131600
1014627993472
116227137004
122a02a76000
1314c1759351
149caa695a8
155a933044c
hex367e57780

14627993472 has 192 divisors, whose sum is σ = 45160642800. Its totient is φ = 4707569664.

The previous prime is 14627993411. The next prime is 14627993473. The reversal of 14627993472 is 27439972641.

14627993472 is a `hidden beast` number, since 1 + 4 + 627 + 9 + 9 + 3 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×146279934722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14627993473) 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 23 ways as a sum of consecutive naturals, for example, 893908 + ... + 910124.

Almost surely, 214627993472 is an apocalyptic number.

14627993472 is a gapful number since it is divisible by the number (12) 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 14627993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22580321400).

14627993472 is an abundant number, since it is smaller than the sum of its proper divisors (30532649328).

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

14627993472 is an equidigital number, since it uses as much as digits as its factorization.

14627993472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16275 (or 16251 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 14627993472 in words is "fourteen billion, six hundred twenty-seven million, nine hundred ninety-three thousand, four hundred seventy-two".