Search a number
-
+
54064004319 = 32132291225691
BaseRepresentation
bin110010010110011101…
…110011110011011111
312011112210221222111100
4302112131303303133
51341210341114234
640500415124143
73622520311563
oct622635636337
9164483858440
1054064004319
1120a237a2706
12a589b13653
135137a10c00
14288c3856a3
15161655e399
hexc96773cdf

54064004319 has 36 divisors (see below), whose sum is σ = 87477638040. Its totient is φ = 32122883520.

The previous prime is 54064004273. The next prime is 54064004321. The reversal of 54064004319 is 91340046045.

54064004319 is a `hidden beast` number, since 5 + 4 + 0 + 640 + 0 + 4 + 3 + 1 + 9 = 666.

It is not a de Polignac number, because 54064004319 - 27 = 54064004191 is a prime.

It is a super-2 number, since 2×540640043192 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54064004389) 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 35 ways as a sum of consecutive naturals, for example, 568737 + ... + 656954.

It is an arithmetic number, because the mean of its divisors is an integer number (2429934390).

Almost surely, 254064004319 is an apocalyptic number.

54064004319 is a deficient number, since it is larger than the sum of its proper divisors (33413633721).

54064004319 is a wasteful number, since it uses less digits than its factorization.

54064004319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225752 (or 1225736 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 54064004319 in words is "fifty-four billion, sixty-four million, four thousand, three hundred nineteen".

Divisors: 1 3 9 13 29 39 87 117 169 261 377 507 1131 1521 3393 4901 14703 44109 1225691 3677073 11031219 15933983 35545039 47801949 106635117 143405847 207141779 319905351 462085507 621425337 1386256521 1864276011 4158769563 6007111591 18021334773 54064004319