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5819369284768 = 2513137712714327
BaseRepresentation
bin101010010101110110101…
…1100000110010010100000
3202121022210211222111000011
41110223231130012102200
51230321032014103033
620213214211534304
71140302252524144
oct124535534062240
922538724874004
105819369284768
111943a87283616
1279b9babba394
133329c1b57290
14161932333224
15a15961e5ccd
hex54aed7064a0

5819369284768 has 96 divisors (see below), whose sum is σ = 12430853132544. Its totient is φ = 2665697728512.

The previous prime is 5819369284681. The next prime is 5819369284769. The reversal of 5819369284768 is 8674829639185.

It is a junction number, because it is equal to n+sod(n) for n = 5819369284694 and 5819369284703.

It is not an unprimeable number, because it can be changed into a prime (5819369284769) 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 15 ways as a sum of consecutive naturals, for example, 406174821 + ... + 406189147.

It is an arithmetic number, because the mean of its divisors is an integer number (129488053464).

Almost surely, 25819369284768 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 5819369284768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215426566272).

5819369284768 is an abundant number, since it is smaller than the sum of its proper divisors (6611483847776).

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

5819369284768 is a wasteful number, since it uses less digits than its factorization.

5819369284768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21614 (or 21606 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 76.

The spelling of 5819369284768 in words is "five trillion, eight hundred nineteen billion, three hundred sixty-nine million, two hundred eighty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 137 208 274 416 548 1096 1781 2192 3562 4384 7124 7127 14248 14254 14327 28496 28508 28654 56992 57016 57308 92651 114032 114616 185302 186251 228064 229232 370604 372502 458464 741208 745004 976399 1482416 1490008 1952798 1962799 2964832 2980016 3905596 3925598 5960032 7811192 7851196 12693187 15622384 15702392 25386374 25516387 31244768 31404784 50772748 51032774 62809568 101545496 102065548 102108529 203090992 204131096 204217058 406181984 408262192 408434116 816524384 816868232 1327410877 1633736464 2654821754 3267472928 5309643508 10619287016 13988868473 21238574032 27977736946 42477148064 55955473892 111910947784 181855290149 223821895568 363710580298 447643791136 727421160596 1454842321192 2909684642384 5819369284768