Search a number
-
+
171326828150992 = 242313131161918461
BaseRepresentation
bin100110111101001000100010…
…101110111000000011010000
3211110121200111020012000211101
4212331020202232320003100
5134424004321001312432
61404214242554154144
751041645342043433
oct4675104256700320
9743550436160741
10171326828150992
114a6543330123a8
1217270354122954
13747a087148b27
143044396ccd81a
1514c190d6274e7
hex9bd222bb80d0

171326828150992 has 160 divisors (see below), whose sum is σ = 350729177610240. Its totient is φ = 80916648384000.

The previous prime is 171326828150963. The next prime is 171326828150993. The reversal of 171326828150992 is 299051828623171.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171326828150993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9280464642 + ... + 9280483102.

It is an arithmetic number, because the mean of its divisors is an integer number (2192057360064).

Almost surely, 2171326828150992 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 171326828150992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175364588805120).

171326828150992 is an abundant number, since it is smaller than the sum of its proper divisors (179402349459248).

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

171326828150992 is a wasteful number, since it uses less digits than its factorization.

171326828150992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19553 (or 19547 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 64.

The spelling of 171326828150992 in words is "one hundred seventy-one trillion, three hundred twenty-six billion, eight hundred twenty-eight million, one hundred fifty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 46 92 131 184 262 311 368 524 619 622 1048 1238 1244 2096 2476 2488 3013 4952 4976 6026 7153 9904 12052 14237 14306 18461 24104 28474 28612 36922 40741 48208 56948 57224 73844 81089 81482 113896 114448 147688 162178 162964 192509 227792 295376 324356 325928 385018 424603 648712 651856 770036 849206 937043 1297424 1540072 1698412 1865047 1874086 2418391 3080144 3396824 3730094 3748172 4427707 4836782 5741371 6793648 7460188 7496344 8855414 9673564 11427359 11482742 14920376 14992688 17710828 19347128 22854718 22965484 25218679 29840752 35421656 38694256 45709436 45930968 50437358 55622993 70843312 91418872 91861936 100874716 111245986 132051533 182837744 201749432 222491972 262829257 264103066 403498864 444983944 525658514 528206132 580029617 752119601 889967888 1051317028 1056412264 1160059234 1496984029 1504239202 2102634056 2112824528 2320118468 2993968058 3008478404 3553908649 4205268112 4640236936 5987936116 6016956808 7107817298 9280473872 11975872232 12033913616 14215634596 17298750823 23951744464 28431269192 34430632667 34597501646 56862538384 68861265334 69195003292 81739898927 137722530668 138390006584 163479797854 275445061336 276780013168 326959595708 465562033019 550890122672 653919191416 931124066038 1307838382832 1862248132076 3724496264152 7448992528304 10707926759437 21415853518874 42831707037748 85663414075496 171326828150992