Search a number
-
+
164355626315205 = 32513378838599363
BaseRepresentation
bin100101010111101100000110…
…101110010010110111000101
3210112221020121012001101001200
4211113230012232102313011
5133020300310314041310
61341315533221213113
746422205431116523
oct4527540656226705
9715836535041050
10164355626315205
1148406914349076
121652527a861199
137092890bca670
142c82bd7655313
1514004012a29c0
hex957b06b92dc5

164355626315205 has 96 divisors (see below), whose sum is σ = 315445860352896. Its totient is φ = 78637519360512.

The previous prime is 164355626315203. The next prime is 164355626315213. The reversal of 164355626315205 is 502513626553461.

164355626315205 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 5 + 5 + 626 + 3 + 1 + 5 + 2 + 0 + 5 = 666.

It is not a de Polignac number, because 164355626315205 - 21 = 164355626315203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164355626315203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14812854 + ... + 23412216.

It is an arithmetic number, because the mean of its divisors is an integer number (3285894378676).

Almost surely, 2164355626315205 is an apocalyptic number.

164355626315205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164355626315205 is a deficient number, since it is larger than the sum of its proper divisors (151090234037691).

164355626315205 is a wasteful number, since it uses less digits than its factorization.

164355626315205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8600307 (or 8600304 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 164355626315205 in words is "one hundred sixty-four trillion, three hundred fifty-five billion, six hundred twenty-six million, three hundred fifteen thousand, two hundred five".

Divisors: 1 3 5 9 13 15 37 39 45 65 111 117 185 195 333 481 555 585 883 1443 1665 2405 2649 4329 4415 7215 7947 11479 13245 21645 32671 34437 39735 57395 98013 103311 163355 172185 294039 424723 490065 516555 1274169 1470195 2123615 3822507 6370845 8599363 19112535 25798089 42996815 77394267 111791719 128990445 318176431 335375157 386971335 558958595 954529293 1006125471 1590882155 1676875785 2863587879 4136293603 4772646465 5030627355 7593237529 12408880809 14317939395 20681468015 22779712587 37226642427 37966187645 62044404045 68339137761 98712087877 113898562935 186133212135 280949788573 296136263631 341695688805 493560439385 842849365719 888408790893 1404748942865 1480681318155 2528548097157 3652347251449 4214246828595 4442043954465 10957041754347 12642740485785 18261736257245 32871125263041 54785208771735 164355626315205