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514530242205 = 357291051316073
BaseRepresentation
bin1110111110011000110…
…01000110111010011101
31211012002111102111101020
413133030121012322131
531412224220222310
61032212200434353
752113352616460
oct7371431067235
91735074374336
10514530242205
111892359a9531
12838771789b9
133969b570025
141ac90cc52d7
15d5b65a5170
hex77cc646e9d

514530242205 has 64 divisors (see below), whose sum is σ = 973451727360. Its totient is φ = 227067273216.

The previous prime is 514530242201. The next prime is 514530242221. The reversal of 514530242205 is 502242035415.

It is a happy number.

It is not a de Polignac number, because 514530242205 - 22 = 514530242201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514530242201) 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 63 ways as a sum of consecutive naturals, for example, 32004049 + ... + 32020121.

It is an arithmetic number, because the mean of its divisors is an integer number (15210183240).

Almost surely, 2514530242205 is an apocalyptic number.

It is an amenable number.

514530242205 is a deficient number, since it is larger than the sum of its proper divisors (458921485155).

514530242205 is a wasteful number, since it uses less digits than its factorization.

514530242205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26630.

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 514530242205 in words is "five hundred fourteen billion, five hundred thirty million, two hundred forty-two thousand, two hundred five".

Divisors: 1 3 5 7 15 21 29 35 87 105 145 203 435 609 1015 3045 10513 16073 31539 48219 52565 73591 80365 112511 157695 220773 241095 304877 337533 367955 466117 562555 914631 1103865 1398351 1524385 1687665 2134139 2330585 3262819 4573155 6402417 6991755 9788457 10670695 16314095 32012085 48942285 168975449 506926347 844877245 1182828143 2534631735 3548484429 4900288021 5914140715 14700864063 17742422145 24501440105 34302016147 73504320315 102906048441 171510080735 514530242205