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14525552484 = 22325323792
BaseRepresentation
bin11011000011100101…
…00101011101100100
31101111022101112001100
431201302211131210
5214222020134414
610401205000100
71022646105342
oct154162453544
941438345040
1014525552484
116184328633
1229946b3030
1314a646c791
149bb200992
155a0347609
hex361ca5764

14525552484 has 81 divisors (see below), whose sum is σ = 37522223193. Its totient is φ = 4737960864.

The previous prime is 14525552473. The next prime is 14525552507. The reversal of 14525552484 is 48425552541.

The square root of 14525552484 is 120522.

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

14525552484 is a `hidden beast` number, since 1 + 4 + 52 + 5 + 552 + 48 + 4 = 666.

14525552484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10471428900 + 4054123584 = 102330^2 + 63672^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 38325807 + ... + 38326185.

Almost surely, 214525552484 is an apocalyptic number.

14525552484 is the 120522-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14525552484

14525552484 is an abundant number, since it is smaller than the sum of its proper divisors (22996670709).

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

14525552484 is an equidigital number, since it uses as much as digits as its factorization.

14525552484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 437 counting only the distinct ones).

The product of its digits is 1280000, while the sum is 45.

It can be divided in two parts, 14525 and 552484, that added together give a square (567009 = 7532).

The spelling of 14525552484 in words is "fourteen billion, five hundred twenty-five million, five hundred fifty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 379 477 636 758 954 1137 1516 1908 2274 2809 3411 4548 5618 6822 8427 11236 13644 16854 20087 25281 33708 40174 50562 60261 80348 101124 120522 143641 180783 241044 287282 361566 430923 574564 723132 861846 1064611 1292769 1723692 2129222 2585538 3193833 4258444 5171076 6387666 7612973 9581499 12775332 15225946 19162998 22838919 30451892 38325996 45677838 68516757 91355676 137033514 274067028 403487569 806975138 1210462707 1613950276 2420925414 3631388121 4841850828 7262776242 14525552484