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5536716392416 = 25118926533041
BaseRepresentation
bin101000010010001111000…
…0000111000011111100000
3201121022020021200211100111
41100210132000320133200
51211203143344024131
615435310555301104
71111004664552406
oct120443600703740
921538207624314
105536716392416
111845121075020
1275507714a794
13312157c01611
14151d9b027476
1599051925ab1
hex5091e0387e0

5536716392416 has 144 divisors (see below), whose sum is σ = 12048846879888. Its totient is φ = 2483784089600.

The previous prime is 5536716392407. The next prime is 5536716392429. The reversal of 5536716392416 is 6142936176355.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1820687856 + ... + 1820690896.

It is an arithmetic number, because the mean of its divisors is an integer number (83672547777).

Almost surely, 25536716392416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5536716392416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6024423439944).

5536716392416 is an abundant number, since it is smaller than the sum of its proper divisors (6512130487472).

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

5536716392416 is a wasteful number, since it uses less digits than its factorization.

5536716392416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893 (or 3796 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 58.

The spelling of 5536716392416 in words is "five trillion, five hundred thirty-six billion, seven hundred sixteen million, three hundred ninety-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 89 176 178 352 356 653 712 979 1306 1424 1958 2612 2848 3041 3916 5224 6082 7183 7832 7921 10448 12164 14366 15664 15842 20896 24328 28732 31328 31684 33451 48656 57464 58117 63368 66902 87131 97312 114928 116234 126736 133804 174262 229856 232468 253472 267608 270649 348524 464936 535216 541298 639287 697048 929872 1070432 1082596 1278574 1394096 1859744 1985773 2165192 2557148 2788192 2977139 3971546 4330384 5114296 5172413 5954278 7943092 8660768 10228592 10344826 11908556 15886184 20457184 20689652 21843503 23817112 24087761 31772368 41379304 43687006 47634224 48175522 56896543 63544736 82758608 87374012 95268448 96351044 113793086 165517216 174748024 176733797 192702088 227586172 264965371 349496048 353467594 385404176 455172344 529930742 698992096 706935188 770808352 910344688 1059861484 1413870376 1820689376 1944071767 2119722968 2827740752 3888143534 4239445936 5655481504 7776287068 8478891872 15552574136 15729307933 31105148272 31458615866 62210296544 62917231732 125834463464 173022387263 251668926928 346044774526 503337853856 692089549052 1384179098104 2768358196208 5536716392416