Search a number
-
+
73326201120 = 25325284317911
BaseRepresentation
bin100010001001010010…
…1010000100100100000
321000021020011222000200
41010102211100210200
52200133001413440
653404030545200
75204043266004
oct1042245204440
9230236158020
1073326201120
1129108802217
1212264968200
136bb75a17b3
143798692704
151d9263bc30
hex1112950920

73326201120 has 144 divisors (see below), whose sum is σ = 250327651392. Its totient is φ = 19545684480.

The previous prime is 73326201101. The next prime is 73326201121. The reversal of 73326201120 is 2110262337.

73326201120 is a `hidden beast` number, since 7 + 3 + 3 + 2 + 620 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (73326201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4084965 + ... + 4102875.

It is an arithmetic number, because the mean of its divisors is an integer number (1738386468).

Almost surely, 273326201120 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 73326201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125163825696).

73326201120 is an abundant number, since it is smaller than the sum of its proper divisors (177001450272).

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

73326201120 is a wasteful number, since it uses less digits than its factorization.

73326201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20775 (or 20764 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 73326201120 its reverse (2110262337), we get a palindrome (75436463457).

The spelling of 73326201120 in words is "seventy-three billion, three hundred twenty-six million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2843 5686 8529 11372 14215 17058 17911 22744 25587 28430 34116 35822 42645 45488 51174 53733 56860 68232 71644 85290 89555 90976 102348 107466 113720 127935 136464 143288 161199 170580 179110 204696 214932 227440 255870 268665 272928 286576 322398 341160 358220 409392 429864 454880 511740 537330 573152 644796 682320 716440 805995 818784 859728 1023480 1074660 1289592 1364640 1432880 1611990 1719456 2046960 2149320 2579184 2865760 3223980 4093920 4298640 5158368 6447960 8597280 12895920 25791840 50920973 101841946 152762919 203683892 254604865 305525838 407367784 458288757 509209730 611051676 763814595 814735568 916577514 1018419460 1222103352 1527629190 1629471136 1833155028 2036838920 2291443785 2444206704 3055258380 3666310056 4073677840 4582887570 4888413408 6110516760 7332620112 8147355680 9165775140 12221033520 14665240224 18331550280 24442067040 36663100560 73326201120