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5171679132732 = 22327109563334423
BaseRepresentation
bin100101101000010000000…
…0110001111110000111100
3200022102000012200200121200
41023100200012033300330
51134213044324221412
614555500412055500
71042433013212040
oct113204006176074
920272005620550
105171679132732
11171432a054a32
126b6380a64590
132b68c1b6c7c8
1413c44c432020
158e7d969c9dc
hex4b42018fc3c

5171679132732 has 144 divisors (see below), whose sum is σ = 15104300090880. Its totient is φ = 1461461595264.

The previous prime is 5171679132677. The next prime is 5171679132761. The reversal of 5171679132732 is 2372319761715.

5171679132732 is a `hidden beast` number, since 5 + 171 + 67 + 91 + 327 + 3 + 2 = 666.

It is a super-2 number, since 2×51716791327322 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15297273 + ... + 15631695.

Almost surely, 25171679132732 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 5171679132732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7552150045440).

5171679132732 is an abundant number, since it is smaller than the sum of its proper divisors (9932620958148).

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

5171679132732 is a wasteful number, since it uses less digits than its factorization.

5171679132732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335112 (or 335107 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 54.

The spelling of 5171679132732 in words is "five trillion, one hundred seventy-one billion, six hundred seventy-nine million, one hundred thirty-two thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 109 126 218 252 327 436 563 654 763 981 1126 1308 1526 1689 1962 2252 2289 3052 3378 3924 3941 4578 5067 6756 6867 7882 9156 10134 11823 13734 15764 20268 23646 27468 35469 47292 61367 70938 122734 141876 184101 245468 334423 368202 429569 552303 668846 736404 859138 1003269 1104606 1288707 1337692 1718276 2006538 2209212 2340961 2577414 3009807 3866121 4013076 4681922 5154828 6019614 7022883 7732242 9363844 12039228 14045766 15464484 21068649 28091532 36452107 42137298 72904214 84274596 109356321 145808428 188280149 218712642 255164749 328068963 376560298 437425284 510329498 564840447 656137926 753120596 765494247 1020658996 1129680894 1312275852 1317961043 1530988494 1694521341 2259361788 2296482741 2635922086 3061976988 3389042682 3953883129 4592965482 5271844172 6778085364 7907766258 9185930964 11861649387 15815532516 20522536241 23723298774 41045072482 47446597548 61567608723 82090144964 123135217446 143657753687 184702826169 246270434892 287315507374 369405652338 430973261061 574631014748 738811304676 861946522122 1292919783183 1723893044244 2585839566366 5171679132732