Search a number
-
+
73268867100 = 2235211131707899
BaseRepresentation
bin100010000111100101…
…0100011000000011100
321000010020022002112110
41010033022203000130
52200023312221400
653354222034020
75202446044302
oct1041712430034
9230106262473
1073268867100
1129089402330
1212249718910
136ba8749140
143790c0a272
151d8c5b3e50
hex110f2a301c

73268867100 has 144 divisors (see below), whose sum is σ = 249052809600. Its totient is φ = 16395820800.

The previous prime is 73268867093. The next prime is 73268867101. The reversal of 73268867100 is 176886237.

It is a super-2 number, since 2×732688671002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73268867100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73268867101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811050 + ... + 896849.

It is an arithmetic number, because the mean of its divisors is an integer number (1729533400).

Almost surely, 273268867100 is an apocalyptic number.

It is an amenable number.

73268867100 is an abundant number, since it is smaller than the sum of its proper divisors (175783942500).

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

73268867100 is a wasteful number, since it uses less digits than its factorization.

73268867100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707940 (or 1707933 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 73268867100 in words is "seventy-three billion, two hundred sixty-eight million, eight hundred sixty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1300 1430 1650 1716 1950 2145 2860 3300 3575 3900 4290 7150 8580 10725 14300 21450 42900 1707899 3415798 5123697 6831596 8539495 10247394 17078990 18786889 20494788 22202687 25618485 34157980 37573778 42697475 44405374 51236970 56360667 66608061 75147556 85394950 88810748 93934445 102473940 111013435 112721334 128092425 133216122 170789900 187868890 222026870 225442668 244229557 256184850 266432244 281803335 333040305 375737780 444053740 469672225 488459114 512369700 555067175 563606670 666080610 732688671 939344450 976918228 1110134350 1127213340 1221147785 1332161220 1409016675 1465377342 1665201525 1878688900 2220268700 2442295570 2818033350 2930754684 3330403050 3663443355 4884591140 5636066700 6105738925 6660806100 7326886710 12211477850 14653773420 18317216775 24422955700 36634433550 73268867100