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5296386760544 = 251131508195527
BaseRepresentation
bin100110100010010100101…
…0000000101111101100000
3200202022220022002120102202
41031010221100011331200
51143234000002314134
615133043153232332
71054436254441625
oct115045120057540
920668808076382
105296386760544
111762204282550
127165852626a8
132c55a7458859
141444bca9034c
1592b87aa5d7e
hex4d129405f60

5296386760544 has 96 divisors (see below), whose sum is σ = 11744569976832. Its totient is φ = 2329305984000.

The previous prime is 5296386760471. The next prime is 5296386760549. The reversal of 5296386760544 is 4450676836925.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5296386760549) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55396109 + ... + 55491635.

It is an arithmetic number, because the mean of its divisors is an integer number (122339270592).

Almost surely, 25296386760544 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 5296386760544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872284988416).

5296386760544 is an abundant number, since it is smaller than the sum of its proper divisors (6448183216288).

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

5296386760544 is a wasteful number, since it uses less digits than its factorization.

5296386760544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100660 (or 100652 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 65.

The spelling of 5296386760544 in words is "five trillion, two hundred ninety-six billion, three hundred eighty-six million, seven hundred sixty thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5081 5456 10162 10912 20324 40648 55891 81296 95527 111782 157511 162592 191054 223564 315022 382108 447128 630044 764216 894256 1050797 1260088 1528432 1732621 1788512 2101594 2520176 2961337 3056864 3465242 4203188 5040352 5922674 6930484 8406376 11845348 13860968 16812752 23690696 27721936 32574707 33625504 47381392 55443872 65149414 94762784 130298828 260597656 485372687 521195312 970745374 1042390624 1941490748 3882981496 5339099557 7765962992 10678199114 15046553297 15531925984 21356398228 30093106594 42712796456 60186213188 85425592912 120372426376 165512086267 170851185824 240744852752 331024172534 481489705504 662048345068 1324096690136 2648193380272 5296386760544