Search a number
-
+
74293350208 = 2671137433941
BaseRepresentation
bin100010100110000111…
…0101000111101000000
321002202122001020011021
41011030032220331000
52204123044201313
654044020155224
75240026025440
oct1051416507500
9232678036137
1074293350208
1129564728690
1212494838b14
13700ca7916c
14384accc120
151dec4ce78d
hex114c3a8f40

74293350208 has 224 divisors, whose sum is σ = 189408377088. Its totient is φ = 28068249600.

The previous prime is 74293350181. The next prime is 74293350217. The reversal of 74293350208 is 80205339247.

It is a tau number, because it is divible by the number of its divisors (224).

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, 78951018 + ... + 78951958.

It is an arithmetic number, because the mean of its divisors is an integer number (845573112).

Almost surely, 274293350208 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 74293350208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94704188544).

74293350208 is an abundant number, since it is smaller than the sum of its proper divisors (115115026880).

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

74293350208 is a wasteful number, since it uses less digits than its factorization.

74293350208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 74293350208 in words is "seventy-four billion, two hundred ninety-three million, three hundred fifty thousand, two hundred eight".