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5416631290784 = 257471313927463
BaseRepresentation
bin100111011010010100001…
…1000100100101110100000
3201011211021100101121100202
41032310220120210232200
51202221230102301114
615304211023004332
71066224113205320
oct116645030445640
921154240347322
105416631290784
1117a91a917487a
12735942a396a8
13303a2b1bba6c
1414a24868b280
1595d7425ecde
hex4ed28624ba0

5416631290784 has 96 divisors (see below), whose sum is σ = 12541743599616. Its totient is φ = 2254677384960.

The previous prime is 5416631290727. The next prime is 5416631290801. The reversal of 5416631290784 is 4870921366145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584564 + ... + 3342899.

It is an arithmetic number, because the mean of its divisors is an integer number (130643162496).

It is a 1-persistent number, because it is pandigital, but 2⋅5416631290784 = 10833262581568 is not.

Almost surely, 25416631290784 is an apocalyptic number.

It is an amenable number.

5416631290784 is an abundant number, since it is smaller than the sum of its proper divisors (7125112308832).

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

5416631290784 is a wasteful number, since it uses less digits than its factorization.

5416631290784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927658 (or 3927650 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 5416631290784 in words is "five trillion, four hundred sixteen billion, six hundred thirty-one million, two hundred ninety thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 131 188 224 262 329 376 524 658 752 917 1048 1316 1504 1834 2096 2632 3668 4192 5264 6157 7336 10528 12314 14672 24628 29344 43099 49256 86198 98512 172396 197024 344792 689584 1379168 3927463 7854926 15709852 27492241 31419704 54984482 62839408 109968964 125678816 184590761 219937928 369181522 439875856 514497653 738363044 879751712 1028995306 1292135327 1476726088 2057990612 2584270654 2953452176 3601483571 4115981224 5168541308 5906904352 7202967142 8231962448 10337082616 14405934284 16463924896 20674165232 24181389691 28811868568 41348330464 48362779382 57623737136 96725558764 115247474272 169269727837 193451117528 338539455674 386902235056 677078911348 773804470112 1354157822696 2708315645392 5416631290784