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14955320918521 = 172109220872
BaseRepresentation
bin1101100110100000111010…
…0101110100000111111001
31221221201022000202212122001
43121220032211310013321
53430011444123343041
651450213553501001
73102325536233614
oct331501645640771
957851260685561
1014955320918521
114846574857355
121816536871761
13846385951969
14399bacb0317b
151ae04eeb8131
hexd9a0e9741f9

14955320918521 has 27 divisors (see below), whose sum is σ = 16041568181709. Its totient is φ = 13939779708288.

The previous prime is 14955320918491. The next prime is 14955320918567. The reversal of 14955320918521 is 12581902355941.

The square root of 14955320918521 is 3867211.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3411390530025 + 11543930388496 = 1846995^2 + 3397636^2 .

It is not a de Polignac number, because 14955320918521 - 219 = 14955320394233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14955320718521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7165940940 + ... + 7165943026.

Almost surely, 214955320918521 is an apocalyptic number.

14955320918521 is the 3867211-st square number.

14955320918521 is the 1933606-th centered octagonal number.

It is an amenable number.

14955320918521 is a deficient number, since it is larger than the sum of its proper divisors (1086247263188).

14955320918521 is an frugal number, since it uses more digits than its factorization.

14955320918521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 55.

The spelling of 14955320918521 in words is "fourteen trillion, nine hundred fifty-five billion, three hundred twenty million, nine hundred eighteen thousand, five hundred twenty-one".

Divisors: 1 17 109 289 1853 2087 11881 31501 35479 201977 227483 603143 3433609 3867211 4355569 24795647 65742587 74044673 421525999 474757021 1258759441 7165941983 8070869357 51748515289 137204779069 879724759913 14955320918521