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172427542320 = 243511251260213
BaseRepresentation
bin1010000010010101111…
…0110111111100110000
3121111001202211201011010
42200211132313330300
510311112422323240
6211113452350520
715312625633005
oct2404536677460
9544052751133
10172427542320
11671429416a0
1229501775440
131334bb67167
1484ba2258ac
154742a12280
hex28257b7f30

172427542320 has 160 divisors (see below), whose sum is σ = 585444029184. Its totient is φ = 41633920000.

The previous prime is 172427542267. The next prime is 172427542321. The reversal of 172427542320 is 23245724271.

It is not an unprimeable number, because it can be changed into a prime (172427542321) 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, 532534 + ... + 792746.

Almost surely, 2172427542320 is an apocalyptic number.

172427542320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172427542320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292722014592).

172427542320 is an abundant number, since it is smaller than the sum of its proper divisors (413016486864).

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

172427542320 is a wasteful number, since it uses less digits than its factorization.

172427542320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260491 (or 260485 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 172427542320 in words is "one hundred seventy-two billion, four hundred twenty-seven million, five hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 251 264 330 440 502 528 660 753 880 1004 1255 1320 1506 2008 2510 2640 2761 3012 3765 4016 5020 5522 6024 7530 8283 10040 11044 12048 13805 15060 16566 20080 22088 27610 30120 33132 41415 44176 55220 60240 66264 82830 110440 132528 165660 220880 260213 331320 520426 662640 780639 1040852 1301065 1561278 2081704 2602130 2862343 3122556 3903195 4163408 5204260 5724686 6245112 7806390 8587029 10408520 11449372 12490224 14311715 15612780 17174058 20817040 22898744 28623430 31225560 34348116 42935145 45797488 57246860 62451120 65313463 68696232 85870290 114493720 130626926 137392464 171740580 195940389 228987440 261253852 326567315 343481160 391880778 522507704 653134630 686962320 718448093 783761556 979701945 1045015408 1306269260 1436896186 1567523112 1959403890 2155344279 2612538520 2873792372 3135046224 3592240465 3918807780 4310688558 5225077040 5747584744 7184480930 7837615560 8621377116 10776721395 11495169488 14368961860 15675231120 17242754232 21553442790 28737923720 34485508464 43106885580 57475847440 86213771160 172427542320