Search a number
-
+
67725675116532 = 223223179456951361
BaseRepresentation
bin11110110011000100111001…
…10011101011011111110100
322212210111210202002221200100
433121202130303223133310
532334104140312212112
6400012425020114100
720160006236056416
oct1731423463533764
9285714722087610
1067725675116532
111a64132aaa9114
127719833695930
132ba36719b64a4
1412a1d23b589b6
157c6a784362dc
hex3d989cceb7f4

67725675116532 has 72 divisors (see below), whose sum is σ = 179636719429440. Its totient is φ = 21473058309120.

The previous prime is 67725675116513. The next prime is 67725675116573. The reversal of 67725675116532 is 23561157652776.

67725675116532 is a `hidden beast` number, since 6 + 7 + 7 + 2 + 5 + 67 + 511 + 6 + 53 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 67725675116532.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228327469 + ... + 228623892.

It is an arithmetic number, because the mean of its divisors is an integer number (2494954436520).

Almost surely, 267725675116532 is an apocalyptic number.

It is an amenable number.

67725675116532 is an abundant number, since it is smaller than the sum of its proper divisors (111911044312908).

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

67725675116532 is a wasteful number, since it uses less digits than its factorization.

67725675116532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456951573 (or 456951568 counting only the distinct ones).

The product of its digits is 111132000, while the sum is 63.

The spelling of 67725675116532 in words is "sixty-seven trillion, seven hundred twenty-five billion, six hundred seventy-five million, one hundred sixteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 179 207 276 358 414 537 716 828 1074 1611 2148 3222 4117 6444 8234 12351 16468 24702 37053 49404 74106 148212 456951361 913902722 1370854083 1827805444 2741708166 4112562249 5483416332 8225124498 10509881303 16450248996 21019762606 31529643909 42039525212 63059287818 81794293619 94588931727 126118575636 163588587238 189177863454 245382880857 327177174476 378355726908 490765761714 736148642571 981531523428 1472297285142 1881268753237 2944594570284 3762537506474 5643806259711 7525075012948 11287612519422 16931418779133 22575225038844 33862837558266 67725675116532