Search a number
-
+
74684470848 = 26313202914747
BaseRepresentation
bin100010110001110001…
…0101001011001000000
321010202220000012210220
41011203202221121000
52210423211031343
654150511223040
75252515346031
oct1054342513100
9233686005726
1074684470848
1129745489389
1212583817a80
137072acbcb0
143886c20a88
151e219dc183
hex11638a9640

74684470848 has 112 divisors (see below), whose sum is σ = 212922185280. Its totient is φ = 22966953984.

The previous prime is 74684470841. The next prime is 74684470877. The reversal of 74684470848 is 84807448647.

It is a junction number, because it is equal to n+sod(n) for n = 74684470791 and 74684470800.

It is not an unprimeable number, because it can be changed into a prime (74684470841) 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, 5057011 + ... + 5071757.

It is an arithmetic number, because the mean of its divisors is an integer number (1901090940).

Almost surely, 274684470848 is an apocalyptic number.

74684470848 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74684470848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106461092640).

74684470848 is an abundant number, since it is smaller than the sum of its proper divisors (138237714432).

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

74684470848 is a wasteful number, since it uses less digits than its factorization.

74684470848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16804 (or 16794 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 60.

The spelling of 74684470848 in words is "seventy-four billion, six hundred eighty-four million, four hundred seventy thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2029 2496 4058 6087 8116 12174 14747 16232 24348 26377 29494 32464 44241 48696 52754 58988 64928 79131 88482 97392 105508 117976 129856 158262 176964 191711 194784 211016 235952 316524 353928 383422 389568 422032 471904 575133 633048 707856 766844 844064 943808 1150266 1266096 1415712 1533688 1688128 2300532 2532192 2831424 3067376 4601064 5064384 6134752 9202128 12269504 18404256 29921663 36808512 59843326 89764989 119686652 179529978 239373304 359059956 388981619 478746608 718119912 777963238 957493216 1166944857 1436239824 1555926476 1914986432 2333889714 2872479648 3111852952 4667779428 5744959296 6223705904 9335558856 12447411808 18671117712 24894823616 37342235424 74684470848