Search a number
-
+
74443293000 = 23375334039
BaseRepresentation
bin100010101010100101…
…0101000000101001000
321010011002012010000000
41011111022220011020
52204424440334000
654110534043000
75243526356436
oct1052512500510
9233132163000
1074443293000
112963133094a
1212516aa9460
137034b57ccb
143862b9dd56
151e0a74c000
hex11552a8148

74443293000 has 256 divisors, whose sum is σ = 261263808000. Its totient is φ = 19850961600.

The previous prime is 74443292933. The next prime is 74443293017. The reversal of 74443293000 is 39234447.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 2169981 + ... + 2204019.

It is an arithmetic number, because the mean of its divisors is an integer number (1020561750).

Almost surely, 274443293000 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 74443293000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130631904000).

74443293000 is an abundant number, since it is smaller than the sum of its proper divisors (186820515000).

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

74443293000 is an equidigital number, since it uses as much as digits as its factorization.

74443293000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34081 (or 34049 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 74443293000 in words is "seventy-four billion, four hundred forty-three million, two hundred ninety-three thousand".