Search a number
-
+
166263243720 = 23357593354787
BaseRepresentation
bin1001101011011000001…
…1111100001111001000
3120220011011121220011120
42122312003330033020
510211001342244340
6204214050155240
715004105152660
oct2326603741710
9526134556146
10166263243720
116456a2a2942
1228281282b20
13128a8a341b2
1480936891a0
1544d17734d0
hex26b60fc3c8

166263243720 has 128 divisors (see below), whose sum is σ = 579707366400. Its totient is φ = 37358896896.

The previous prime is 166263243683. The next prime is 166263243721. The reversal of 166263243720 is 27342362661.

166263243720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1662632437202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (166263243721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1627834 + ... + 1726953.

It is an arithmetic number, because the mean of its divisors is an integer number (4528963800).

Almost surely, 2166263243720 is an apocalyptic number.

166263243720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166263243720 is an abundant number, since it is smaller than the sum of its proper divisors (413444122680).

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

166263243720 is a wasteful number, since it uses less digits than its factorization.

166263243720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354867 (or 3354863 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 166263243720 in words is "one hundred sixty-six billion, two hundred sixty-three million, two hundred forty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 59 60 70 84 105 118 120 140 168 177 210 236 280 295 354 413 420 472 590 708 826 840 885 1180 1239 1416 1652 1770 2065 2360 2478 3304 3540 4130 4956 6195 7080 8260 9912 12390 16520 24780 49560 3354787 6709574 10064361 13419148 16773935 20128722 23483509 26838296 33547870 40257444 46967018 50321805 67095740 70450527 80514888 93934036 100643610 117417545 134191480 140901054 187868072 197932433 201287220 234835090 281802108 352252635 395864866 402574440 469670180 563604216 593797299 704505270 791729732 939340360 989662165 1187594598 1385527031 1409010540 1583459464 1979324330 2375189196 2771054062 2818021080 2968986495 3958648660 4156581093 4750378392 5542108124 5937972990 6927635155 7917297320 8313162186 11084216248 11875945980 13855270310 16626324372 20782905465 23751891960 27710540620 33252648744 41565810930 55421081240 83131621860 166263243720