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172426016672 = 2571327695923
BaseRepresentation
bin1010000010010101100…
…1000011011110100000
3121111001122222012100122
42200211121003132200
510311112030013142
6211113355535412
715312606650030
oct2404531033640
9544048865318
10172426016672
1167141a9a428
122950115a568
131334b751900
1484b9d498c0
1547428101d2
hex28256437a0

172426016672 has 144 divisors (see below), whose sum is σ = 420714423360. Its totient is φ = 68112285696.

The previous prime is 172426016669. The next prime is 172426016771. The reversal of 172426016672 is 276610624271.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29108303 + ... + 29114225.

It is an arithmetic number, because the mean of its divisors is an integer number (2921627940).

Almost surely, 2172426016672 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 172426016672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210357211680).

172426016672 is an abundant number, since it is smaller than the sum of its proper divisors (248288406688).

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

172426016672 is a wasteful number, since it uses less digits than its factorization.

172426016672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6735 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 172426016672 in words is "one hundred seventy-two billion, four hundred twenty-six million, sixteen thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 208 224 338 364 416 676 728 769 1183 1352 1456 1538 2366 2704 2912 3076 4732 5383 5408 5923 6152 9464 9997 10766 11846 12304 18928 19994 21532 23692 24608 37856 39988 41461 43064 47384 69979 76999 79976 82922 86128 94768 129961 139958 153998 159952 165844 172256 189536 259922 279916 307996 319904 331688 519844 538993 559832 615992 663376 909727 1000987 1039688 1077986 1119664 1231984 1326752 1819454 2001974 2079376 2155972 2239328 2463968 3638908 4003948 4158752 4311944 4554787 7006909 7277816 8007896 8623888 9109574 14013818 14555632 16015792 17247776 18219148 28027636 29111264 31883509 32031584 36438296 56055272 59212231 63767018 72876592 112110544 118424462 127534036 145753184 224221088 236848924 255068072 414485617 473697848 510136144 769759003 828971234 947395696 1020272288 1539518006 1657942468 1894791392 3079036012 3315884936 5388313021 6158072024 6631769872 10776626042 12316144048 13263539744 21553252084 24632288096 43106504168 86213008336 172426016672