Search a number
-
+
66222115960 = 2357111322941107
BaseRepresentation
bin111101101011001001…
…010100110001111000
320022221010121001020111
4331223021110301320
52041110330202320
650231053434104
74533021461320
oct755311246170
9208833531214
1066222115960
11260a2726960
1210a0179b934
136324854800
1432c2da0280
151ac8b12a5a
hexf6b254c78

66222115960 has 768 divisors, whose sum is σ = 215158809600. Its totient is φ = 17779507200.

The previous prime is 66222115907. The next prime is 66222115961. The reversal of 66222115960 is 6951122266.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66222115961) 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 191 ways as a sum of consecutive naturals, for example, 618898227 + ... + 618898333.

It is an arithmetic number, because the mean of its divisors is an integer number (280154700).

Almost surely, 266222115960 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 66222115960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107579404800).

66222115960 is an abundant number, since it is smaller than the sum of its proper divisors (148936693640).

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

66222115960 is a wasteful number, since it uses less digits than its factorization.

66222115960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 66222115960 in words is "sixty-six billion, two hundred twenty-two million, one hundred fifteen thousand, nine hundred sixty".