Search a number
-
+
5739372896319 = 321923753478929
BaseRepresentation
bin101001110000100110101…
…0010000110000000111111
3202022200022202122220010100
41103201031102012000333
51223013213430140234
620112344223412143
71131441003453636
oct123411522060077
922280282586110
105739372896319
111913066413997
127883b4454053
133282b36b829a
1415bb03c5851d
159e4631dc399
hex5384d48603f

5739372896319 has 72 divisors (see below), whose sum is σ = 8988656454960. Its totient is φ = 3525843188736.

The previous prime is 5739372896311. The next prime is 5739372896371. The reversal of 5739372896319 is 9136982739375.

5739372896319 is a `hidden beast` number, since 5 + 73 + 93 + 72 + 8 + 96 + 319 = 666.

It is not a de Polignac number, because 5739372896319 - 23 = 5739372896311 is a prime.

It is a super-2 number, since 2×57393728963192 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5739372896311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 642774447 + ... + 642783375.

Almost surely, 25739372896319 is an apocalyptic number.

5739372896319 is a deficient number, since it is larger than the sum of its proper divisors (3249283558641).

5739372896319 is a wasteful number, since it uses less digits than its factorization.

5739372896319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14357 (or 14335 counting only the distinct ones).

The product of its digits is 462944160, while the sum is 72.

The spelling of 5739372896319 in words is "five trillion, seven hundred thirty-nine billion, three hundred seventy-two million, eight hundred ninety-six thousand, three hundred nineteen".

Divisors: 1 3 9 19 37 57 111 171 333 361 703 1083 2109 3249 5347 6327 8929 13357 16041 26787 40071 48123 80361 101593 120213 169651 197839 304779 330373 508953 593517 914337 991119 1526859 1780551 1930267 2973357 3223369 3758941 5790801 6277087 9670107 11276823 17372403 18831261 29010321 33830469 47743363 56493783 71419879 119264653 143230089 214259637 357793959 429690267 642778911 907123897 1073381877 1766504431 2721371691 5299513293 8164115073 15898539879 17235354043 33563584189 51706062129 100690752567 155118186387 302072257701 637708099591 1913124298773 5739372896319