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66124484244 = 223371371193491
BaseRepresentation
bin111101100101010100…
…111000111010010100
320022200022212211201000
4331211110320322110
52040410331443434
650213245103300
74530424561620
oct754524707224
9208608784630
1066124484244
1126052602795
1210994b57b30
13630a55cc70
1432b4028180
151ac0279b99
hexf65538e94

66124484244 has 384 divisors, whose sum is σ = 215513948160. Its totient is φ = 17069875200.

The previous prime is 66124484243. The next prime is 66124484281. The reversal of 66124484244 is 44248442166.

66124484244 is a `hidden beast` number, since 6 + 6 + 124 + 484 + 2 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 66124484244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66124484243) 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 127 ways as a sum of consecutive naturals, for example, 134672839 + ... + 134673329.

It is an arithmetic number, because the mean of its divisors is an integer number (561234240).

Almost surely, 266124484244 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 66124484244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107756974080).

66124484244 is an abundant number, since it is smaller than the sum of its proper divisors (149389463916).

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

66124484244 is a wasteful number, since it uses less digits than its factorization.

66124484244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 780 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 45.

The spelling of 66124484244 in words is "sixty-six billion, one hundred twenty-four million, four hundred eighty-four thousand, two hundred forty-four".