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66422432160 = 25335721791753
BaseRepresentation
bin111101110111000101…
…011110000110100000
320100110002112011102000
4331313011132012200
52042013120312120
650303011124000
74541003233500
oct756705360640
9210402464360
1066422432160
1126195805437
1210a588a3600
1363571bc9c6
143301825a00
151adb4d0990
hexf7715e1a0

66422432160 has 576 divisors, whose sum is σ = 272100124800. Its totient is φ = 15088840704.

The previous prime is 66422432149. The next prime is 66422432171. The reversal of 66422432160 is 6123422466.

66422432160 is a `hidden beast` number, since 6 + 64 + 2 + 2 + 432 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (66422432149) and next prime (66422432171).

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37889844 + ... + 37891596.

It is an arithmetic number, because the mean of its divisors is an integer number (472396050).

Almost surely, 266422432160 is an apocalyptic number.

66422432160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66422432160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136050062400).

66422432160 is an abundant number, since it is smaller than the sum of its proper divisors (205677692640).

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

66422432160 is a wasteful number, since it uses less digits than its factorization.

66422432160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 66422432160 in words is "sixty-six billion, four hundred twenty-two million, four hundred thirty-two thousand, one hundred sixty".