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173100066040 = 2351110122317467
BaseRepresentation
bin1010000100110110010…
…0010110010011111000
3121112210122022110021001
42201031210112103320
510314002104103130
6211304315054344
715335403166366
oct2411544262370
9545718273231
10173100066040
1167458524720
122966aa413b4
13134282a61a5
14854168a636
154781aa86ca
hex284d9164f8

173100066040 has 128 divisors (see below), whose sum is σ = 431037573120. Its totient is φ = 62039232000.

The previous prime is 173100066019. The next prime is 173100066047. The reversal of 173100066040 is 40660001371.

It is a super-2 number, since 2×1731000660402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173100066047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9901387 + ... + 9918853.

It is an arithmetic number, because the mean of its divisors is an integer number (3367481040).

Almost surely, 2173100066040 is an apocalyptic number.

173100066040 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 173100066040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215518786560).

173100066040 is an abundant number, since it is smaller than the sum of its proper divisors (257937507080).

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

173100066040 is a wasteful number, since it uses less digits than its factorization.

173100066040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17813 (or 17809 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 173100066040 in words is "one hundred seventy-three billion, one hundred million, sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 223 404 440 446 505 808 892 1010 1111 1115 1784 2020 2222 2230 2453 4040 4444 4460 4906 5555 8888 8920 9812 11110 12265 17467 19624 22220 22523 24530 34934 44440 45046 49060 69868 87335 90092 98120 112615 139736 174670 180184 192137 225230 247753 349340 384274 450460 495506 698680 768548 900920 960685 991012 1238765 1537096 1764167 1921370 1982024 2477530 3528334 3842740 3895141 4955060 7056668 7685480 7790282 8820835 9910120 14113336 15580564 17641670 19405837 19475705 31161128 35283340 38811674 38951410 42846551 70566680 77623348 77902820 85693102 97029185 155246696 155805640 171386204 194058370 214232755 342772408 388116740 393409241 428465510 776233480 786818482 856931020 1573636964 1713862040 1967046205 3147273928 3934092410 4327501651 7868184820 8655003302 15736369640 17310006604 21637508255 34620013208 43275016510 86550033020 173100066040