Search a number
-
+
73673674040036 = 22722357732538707
BaseRepresentation
bin10000110000000101111101…
…001010111010001011100100
3100122212010122000110010001102
4100300011331022322023210
534124032141023240121
6420405115115415232
721342514215530600
oct2060057512721344
9318763560403042
1073673674040036
1121524914366094
12831a550454518
133215522843225
141429b7955c500
1587b64c00290b
hex43017d2ba2e4

73673674040036 has 144 divisors (see below), whose sum is σ = 156836789940096. Its totient is φ = 30136558104576.

The previous prime is 73673674040027. The next prime is 73673674040167. The reversal of 73673674040036 is 63004047637637.

It is a super-2 number, since 2×736736740400362 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8461425995 + ... + 8461434701.

It is an arithmetic number, because the mean of its divisors is an integer number (1089144374584).

Almost surely, 273673674040036 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 73673674040036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78418394970048).

73673674040036 is an abundant number, since it is smaller than the sum of its proper divisors (83163115900060).

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

73673674040036 is a wasteful number, since it uses less digits than its factorization.

73673674040036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12578 (or 12569 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 56.

The spelling of 73673674040036 in words is "seventy-three trillion, six hundred seventy-three billion, six hundred seventy-four million, forty thousand, thirty-six".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 577 644 1127 1154 2254 2308 3253 4039 4508 6506 8078 8707 13012 13271 16156 17414 22771 26542 28273 34828 45542 53084 56546 60949 74819 91084 92897 113092 121898 149638 159397 185794 200261 243796 299276 318794 371588 400522 426643 523733 637588 650279 801044 853286 1047466 1300558 1401827 1706572 1876981 2094932 2601116 2803654 3666131 3753962 5023939 5607308 7332262 7507924 9812789 10047878 13138867 14664524 19625578 20095756 26277734 28323871 35167573 39251156 43170563 52555468 56647742 70335146 86341126 91972069 113295484 115550597 140670292 172682252 183944138 198267097 231101194 246173011 302193941 367888276 396534194 462202388 492346022 604387882 651449033 793068388 808854179 984692044 1208775764 1302898066 1387869679 1617708358 2115357587 2605796132 2775739358 3235416716 4230715174 4560143231 5551478716 5661979253 8461430348 9120286462 11323958506 16342873567 18240572924 22647917012 31921002617 32685747134 63842005234 65371494268 114400114969 127684010468 228800229938 375886092041 457600459876 751772184082 800800804783 1503544368164 1601601609566 2631202644287 3203203219132 5262405288574 10524810577148 18418418510009 36836837020018 73673674040036