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74232946031220 = 223251133649604033
BaseRepresentation
bin10000111000001110110100…
…011000001111101001110100
3100201211121012122100221200200
4100320032310120033221310
534212213033140444340
6421514051123240500
721431103414160254
oct2070166430175164
9321747178327620
1074232946031220
1121720019870869
1283aaa13519130
1332561a1653222
141448c72689964
1588ae814d2330
hex4383b460fa74

74232946031220 has 72 divisors (see below), whose sum is σ = 227165953492296. Its totient is φ = 19620271276032.

The previous prime is 74232946031183. The next prime is 74232946031261. The reversal of 74232946031220 is 2213064923247.

74232946031220 is a `hidden beast` number, since 7 + 4 + 2 + 3 + 2 + 9 + 4 + 603 + 12 + 20 = 666.

74232946031220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4426319469924 + 69806626561296 = 2103882^2 + 8355036^2 .

It is a super-5 number, since 5×742329460312205 (a number of 71 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1824781677 + ... + 1824822356.

It is an arithmetic number, because the mean of its divisors is an integer number (3155082687393).

Almost surely, 274232946031220 is an apocalyptic number.

It is an amenable number.

74232946031220 is an abundant number, since it is smaller than the sum of its proper divisors (152933007461076).

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

74232946031220 is a wasteful number, since it uses less digits than its factorization.

74232946031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649604161 (or 3649604156 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 74232946031220 in words is "seventy-four trillion, two hundred thirty-two billion, nine hundred forty-six million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 20340 3649604033 7299208066 10948812099 14598416132 18248020165 21897624198 32846436297 36496040330 43795248396 54744060495 65692872594 72992080660 109488120990 131385745188 164232181485 218976241980 328464362970 412405255729 656928725940 824810511458 1237215767187 1649621022916 2062026278645 2474431534374 3711647301561 4124052557290 4948863068748 6186078835935 7423294603122 8248105114580 12372157671870 14846589206244 18558236507805 24744315343740 37116473015610 74232946031220