Search a number
-
+
19750158133224 = 23359145915236277
BaseRepresentation
bin1000111110110011100010…
…01010001110011111101000
32120221002121110220122112120
410133121301022032133220
510042041310440230344
6110001033011511240
74105621221134631
oct437316112163750
976832543818476
1019750158133224
116324aa4420702
12226b867bb8520
13b0357cc109cc
144c3cac850888
15243b30da6219
hex11f67128e7e8

19750158133224 has 128 divisors (see below), whose sum is σ = 50287684032000. Its totient is φ = 6462091332864.

The previous prime is 19750158133217. The next prime is 19750158133253. The reversal of 19750158133224 is 42233185105791.

It is a Cunningham number, because it is equal to 44441152-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3146429574 + ... + 3146435850.

It is an arithmetic number, because the mean of its divisors is an integer number (392872531500).

Almost surely, 219750158133224 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 19750158133224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25143842016000).

19750158133224 is an abundant number, since it is smaller than the sum of its proper divisors (30537525898776).

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

19750158133224 is a wasteful number, since it uses less digits than its factorization.

19750158133224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9327 (or 9323 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 19750158133224 in words is "nineteen trillion, seven hundred fifty billion, one hundred fifty-eight million, one hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1416 1459 1523 2918 3046 4377 4569 5836 6092 6277 8754 9138 11672 12184 12554 17508 18276 18831 25108 35016 36552 37662 50216 75324 86081 89857 150648 172162 179714 258243 269571 344324 359428 370343 516486 539142 688648 718856 740686 1032972 1078284 1111029 1481372 2065944 2156568 2222057 2222058 2962744 4444114 4444116 6666171 8888228 8888232 9158143 9559871 13332342 17776456 18316286 19119742 26664684 27474429 28679613 36632572 38239484 53329368 54948858 57359226 73265144 76478968 109897716 114718452 131101363 219795432 229436904 262202726 393304089 524405452 540330437 564032389 786608178 1048810904 1080660874 1128064778 1573216356 1620991311 1692097167 2161321748 2256129556 3146432712 3241982622 3384194334 4322643496 4512259112 6483965244 6768388668 12967930488 13536777336 13947851789 27895703578 41843555367 55791407156 83687110734 111582814312 167374221468 334748442936 822923255551 1645846511102 2468769766653 3291693022204 4937539533306 6583386044408 9875079066612 19750158133224