Search a number
-
+
172206006272 = 213237511217
BaseRepresentation
bin1010000001100001000…
…1110010000000000000
3121110111022222111211022
42200120101302000000
510310134214200042
6211035500205012
715304265621216
oct2403021620000
9543438874738
10172206006272
116703988a353
122945b539768
1313314cac541
148498a38cb6
15472d351cd2
hex2818472000

172206006272 has 112 divisors (see below), whose sum is σ = 360138707712. Its totient is φ = 82182144000.

The previous prime is 172206006221. The next prime is 172206006277. The reversal of 172206006272 is 272600602271.

It is not an unprimeable number, because it can be changed into a prime (172206006277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141499808 + ... + 141501024.

It is an arithmetic number, because the mean of its divisors is an integer number (3215524176).

Almost surely, 2172206006272 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 172206006272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180069353856).

172206006272 is an abundant number, since it is smaller than the sum of its proper divisors (187932701440).

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

172206006272 is an equidigital number, since it uses as much as digits as its factorization.

172206006272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 172206006272 in words is "one hundred seventy-two billion, two hundred six million, six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 751 1024 1217 1472 1502 2048 2434 2944 3004 4096 4868 5888 6008 8192 9736 11776 12016 17273 19472 23552 24032 27991 34546 38944 47104 48064 55982 69092 77888 94208 96128 111964 138184 155776 188416 192256 223928 276368 311552 384512 447856 552736 623104 769024 895712 913967 1105472 1246208 1538048 1791424 1827934 2210944 2492416 3076096 3582848 3655868 4421888 4984832 6152192 7165696 7311736 8843776 9969664 14331392 14623472 17687552 21021241 28662784 29246944 35375104 42042482 57325568 58493888 70750208 84084964 114651136 116987776 141500416 168169928 229302272 233975552 336339856 467951104 672679712 935902208 1345359424 1871804416 2690718848 3743608832 5381437696 7487217664 10762875392 21525750784 43051501568 86103003136 172206006272