Search a number
-
+
67778005832433 = 3213737935605413
BaseRepresentation
bin11110110100100110010111…
…11101100001001011110001
322212222111212202120202110100
433122103023331201023301
532340433323443114213
6400052441441023013
720163541111603311
oct1732231375411361
9285874782522410
1067778005832433
111a661544361556
1277279b9024a69
132ba8591594140
1412a4689c31441
157c80dc718773
hex3da4cbf612f1

67778005832433 has 24 divisors (see below), whose sum is σ = 106876733715752. Its totient is φ = 41138178455808.

The previous prime is 67778005832429. The next prime is 67778005832441. The reversal of 67778005832433 is 33423850087776.

It is a happy number.

67778005832433 is a `hidden beast` number, since 6 + 7 + 7 + 7 + 8 + 0 + 0 + 583 + 2 + 43 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3842101776384 + 63935904056049 = 1960128^2 + 7995993^2 .

It is not a de Polignac number, because 67778005832433 - 22 = 67778005832429 is a prime.

It is a super-4 number, since 4×677780058324334 (a number of 56 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (67778005832233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3967794166 + ... + 3967811247.

Almost surely, 267778005832433 is an apocalyptic number.

It is an amenable number.

67778005832433 is a deficient number, since it is larger than the sum of its proper divisors (39098727883319).

67778005832433 is a wasteful number, since it uses less digits than its factorization.

67778005832433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7935605505 (or 7935605502 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 67778005832433 in words is "sixty-seven trillion, seven hundred seventy-eight billion, five million, eight hundred thirty-two thousand, four hundred thirty-three".

Divisors: 1 3 9 13 39 73 117 219 657 949 2847 8541 7935605413 23806816239 71420448717 103162870369 309488611107 579299195149 928465833321 1737897585447 5213692756341 7530889536937 22592668610811 67778005832433