Search a number
-
+
74506714260 = 2235113710512903
BaseRepresentation
bin100010101100011110…
…0100011110010010100
321010022111112020121120
41011120330203302110
52210042204324020
654121121243540
75245226423166
oct1053074436224
9233274466546
1074506714260
1129664109210
12125341935b0
137045032294
14386b38c936
151e110c8740
hex1158f23c94

74506714260 has 192 divisors, whose sum is σ = 234038052864. Its totient is φ = 17551296000.

The previous prime is 74506714231. The next prime is 74506714267. The reversal of 74506714260 is 6241760547.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74506714267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25663969 + ... + 25666871.

It is an arithmetic number, because the mean of its divisors is an integer number (1218948192).

Almost surely, 274506714260 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 74506714260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117019026432).

74506714260 is an abundant number, since it is smaller than the sum of its proper divisors (159531338604).

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

74506714260 is a wasteful number, since it uses less digits than its factorization.

74506714260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 74506714260 in words is "seventy-four billion, five hundred six million, seven hundred fourteen thousand, two hundred sixty".