Search a number
-
+
213917886868623 = 37175377314625931
BaseRepresentation
bin110000101000111010100011…
…101010000110110010001111
31001001102100110100012202000220
4300220322203222012302033
5211014312313014243443
62034544304235122423
763026025440615610
oct6050724352066217
91031370410182026
10213917886868623
1162185080344a93
121bbaa8775a3413
1392494a7373212
143ab797680dc07
1519ae766210a83
hexc28ea3a86c8f

213917886868623 has 64 divisors (see below), whose sum is σ = 352111941430272. Its totient is φ = 112731520112640.

The previous prime is 213917886868613. The next prime is 213917886868669. The reversal of 213917886868623 is 326868688719312.

It is a Cunningham number, because it is equal to 146259322-1.

It is not a de Polignac number, because 213917886868623 - 26 = 213917886868559 is a prime.

It is a super-2 number, since 2×2139178868686232 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213917886868613) 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, 7312968 + ... + 21938898.

It is an arithmetic number, because the mean of its divisors is an integer number (5501749084848).

Almost surely, 2213917886868623 is an apocalyptic number.

213917886868623 is a deficient number, since it is larger than the sum of its proper divisors (138194054561649).

213917886868623 is a wasteful number, since it uses less digits than its factorization.

213917886868623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14626784.

The product of its digits is 2006581248, while the sum is 78.

The spelling of 213917886868623 in words is "two hundred thirteen trillion, nine hundred seventeen billion, eight hundred eighty-six million, eight hundred sixty-eight thousand, six hundred twenty-three".

Divisors: 1 3 7 17 21 51 53 119 159 357 371 773 901 1113 2319 2703 5411 6307 13141 16233 18921 39423 40969 91987 122907 275961 286783 696473 860349 2089419 4875311 14625931 14625933 43877793 102381517 248640827 307144551 745922481 775174343 1740485789 2325523029 5221457367 5426220401 11305844663 13177963831 16278661203 33917533989 39533891493 79140912641 92245746817 192199359271 237422737923 276737240451 576598077813 599209767139 1345395514897 1797629301417 4036186544691 4194468369973 10186566041363 12583405109919 30559698124089 71305962289541 213917886868623