Search a number
-
+
66924058950 = 2375271737139
BaseRepresentation
bin111110010100111111…
…000001100101000110
320101202001102110000000
4332110333001211012
52044030024341300
650424450502130
74556304054330
oct762477014506
9211661373000
1066924058950
1126422983031
1210b78894946
1364070c43a8
14334c2c2450
151b1a56ac00
hexf94fc1946

66924058950 has 768 divisors, whose sum is σ = 233685043200. Its totient is φ = 13907220480.

The previous prime is 66924058919. The next prime is 66924058951. The reversal of 66924058950 is 5985042966.

It is a happy number.

66924058950 is a `hidden beast` number, since 6 + 6 + 9 + 2 + 4 + 0 + 589 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66924058951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 481467981 + ... + 481468119.

It is an arithmetic number, because the mean of its divisors is an integer number (304277400).

Almost surely, 266924058950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66924058950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116842521600).

66924058950 is an abundant number, since it is smaller than the sum of its proper divisors (166760984250).

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

66924058950 is a wasteful number, since it uses less digits than its factorization.

66924058950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 66924058950 in words is "sixty-six billion, nine hundred twenty-four million, fifty-eight thousand, nine hundred fifty".