Search a number
-
+
74264422050 = 233527313373
BaseRepresentation
bin100010100101010000…
…0010010011010100010
321002200121121112012000
41011022200102122202
52204043143001200
654041104144430
75236225113000
oct1051240223242
9232617545160
1074264422050
112954a36a515
1212487008116
137006a8b000
14384711ba70
151de9bb8300
hex114a8126a2

74264422050 has 768 divisors, whose sum is σ = 262066560000. Its totient is φ = 15454333440.

The previous prime is 74264421989. The next prime is 74264422073. The reversal of 74264422050 is 5022446247.

74264422050 is a `hidden beast` number, since 7 + 4 + 2 + 6 + 442 + 205 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 74264421996 and 74264422014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1017320814 + ... + 1017320886.

It is an arithmetic number, because the mean of its divisors is an integer number (341232500).

Almost surely, 274264422050 is an apocalyptic number.

74264422050 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 74264422050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131033280000).

74264422050 is an abundant number, since it is smaller than the sum of its proper divisors (187802137950).

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

74264422050 is a wasteful number, since it uses less digits than its factorization.

74264422050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 74264422050 its reverse (5022446247), we get a palindrome (79286868297).

The spelling of 74264422050 in words is "seventy-four billion, two hundred sixty-four million, four hundred twenty-two thousand, fifty".