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172674322681 = 72232292892
BaseRepresentation
bin1010000011010000110…
…0010001000011111001
3121111200222012110011111
42200310030101003321
510312114111311211
6211154150000321
715322013345200
oct2406414210371
9544628173144
10172674322681
116725a176403
12295703460a1
131338b020243
148500d04237
15475950c421
hex28343110f9

172674322681 has 81 divisors (see below), whose sum is σ = 219940330701. Its totient is φ = 135153879168.

The previous prime is 172674322679. The next prime is 172674322697. The reversal of 172674322681 is 186223476271.

The square root of 172674322681 is 415541.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 15810799081 + 156863523600 = 125741^2 + 396060^2 .

It is not a de Polignac number, because 172674322681 - 21 = 172674322679 is a prime.

It is a super-2 number, since 2×1726743226812 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (172674322651) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1940160885 + ... + 1940160973.

Almost surely, 2172674322681 is an apocalyptic number.

172674322681 is the 415541-st square number.

172674322681 is the 207771-st centered octagonal number.

It is an amenable number.

172674322681 is a deficient number, since it is larger than the sum of its proper divisors (47266008020).

172674322681 is an frugal number, since it uses more digits than its factorization.

172674322681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 49.

Multiplying 172674322681 by its sum of digits (49), we get a square (8461041811369 = 29087872).

172674322681 divided by its sum of digits (49) gives a square (3523965769 = 593632).

The spelling of 172674322681 in words is "one hundred seventy-two billion, six hundred seventy-four million, three hundred twenty-two thousand, six hundred eighty-one".

Divisors: 1 7 23 29 49 89 161 203 529 623 667 841 1127 1421 2047 2581 3703 4361 4669 5887 7921 14329 15341 18067 19343 25921 32683 41209 47081 55447 59363 74849 100303 107387 126469 135401 182183 229709 329567 388129 415541 444889 523943 751709 947807 1275281 1365349 1607963 1721527 2306969 2908787 3114223 3667601 4190209 5283307 6661561 8926967 9557443 11255741 12050689 21799561 29331463 36983149 39595121 46630927 66902101 84354823 121516061 153215903 205320241 258882043 277165847 326416489 850612427 1072511321 1940160929 3523965769 5954286989 7507579247 24667760383 172674322681