Search a number
-
+
72011920080 = 24356125119597
BaseRepresentation
bin100001100010000111…
…1101011001011010000
320212212122010120101010
41003010033223023100
52134440022420310
653025401210520
75126344135602
oct1030417531320
9225778116333
1072011920080
11285a3940441
1211b58790a40
136a382064c9
1436b1cd5172
151d1707a320
hex10c43eb2d0

72011920080 has 160 divisors (see below), whose sum is σ = 227812169088. Its totient is φ = 18812160000.

The previous prime is 72011920067. The next prime is 72011920091. The reversal of 72011920080 is 8002911027.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3664842 + ... + 3684438.

Almost surely, 272011920080 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 72011920080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113906084544).

72011920080 is an abundant number, since it is smaller than the sum of its proper divisors (155800249008).

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

72011920080 is a wasteful number, since it uses less digits than its factorization.

72011920080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19925 (or 19919 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The spelling of 72011920080 in words is "seventy-two billion, eleven million, nine hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 251 305 366 488 502 610 732 753 915 976 1004 1220 1255 1464 1506 1830 2008 2440 2510 2928 3012 3660 3765 4016 4880 5020 6024 7320 7530 10040 12048 14640 15060 15311 19597 20080 30120 30622 39194 45933 58791 60240 61244 76555 78388 91866 97985 117582 122488 153110 156776 183732 195970 229665 235164 244976 293955 306220 313552 367464 391940 459330 470328 587910 612440 734928 783880 918660 940656 1175820 1195417 1224880 1567760 1837320 2351640 2390834 3586251 3674640 4703280 4781668 4918847 5977085 7172502 9563336 9837694 11954170 14345004 14756541 17931255 19126672 19675388 23908340 24594235 28690008 29513082 35862510 39350776 47816680 49188470 57380016 59026164 71725020 73782705 78701552 95633360 98376940 118052328 143450040 147565410 196753880 236104656 286900080 295130820 300049667 393507760 590261640 600099334 900149001 1180523280 1200198668 1500248335 1800298002 2400397336 3000496670 3600596004 4500745005 4800794672 6000993340 7201192008 9001490010 12001986680 14402384016 18002980020 24003973360 36005960040 72011920080