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74615315920 = 24537241104597
BaseRepresentation
bin100010101111101101…
…0110101110111010000
321010121001212210002021
41011133122311313100
52210303010102140
654140001101224
75251015502125
oct1053732656720
9233531783067
1074615315920
112970a445252
1212564627814
137061698012
14387b97c74c
151e1a8cbb4a
hex115f6b5dd0

74615315920 has 80 divisors (see below), whose sum is σ = 178910276688. Its totient is φ = 28918702080.

The previous prime is 74615315881. The next prime is 74615315923. The reversal of 74615315920 is 2951351647.

It can be written as a sum of positive squares in 8 ways, for example, as 2819185216 + 71796130704 = 53096^2 + 267948^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74615315923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661062 + ... + 765658.

Almost surely, 274615315920 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 74615315920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89455138344).

74615315920 is an abundant number, since it is smaller than the sum of its proper divisors (104294960768).

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

74615315920 is a wasteful number, since it uses less digits than its factorization.

74615315920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104888 (or 104882 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 74615315920 in words is "seventy-four billion, six hundred fifteen million, three hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 241 296 370 482 592 740 964 1205 1480 1928 2410 2960 3856 4820 8917 9640 17834 19280 35668 44585 71336 89170 104597 142672 178340 209194 356680 418388 522985 713360 836776 1045970 1673552 2091940 3870089 4183880 7740178 8367760 15480356 19350445 25207877 30960712 38700890 50415754 61921424 77401780 100831508 126039385 154803560 201663016 252078770 309607120 403326032 504157540 932691449 1008315080 1865382898 2016630160 3730765796 4663457245 7461531592 9326914490 14923063184 18653828980 37307657960 74615315920