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669078144 = 273572439
BaseRepresentation
bin100111111000010…
…101001010000000
31201121222200200000
4213320111022000
52332241000034
6150220400000
722403033100
oct4770251200
91647880600
10669078144
1131374a349
121680a6000
13a8803937
1464c09200
153db15599
hex27e15280

669078144 has 288 divisors, whose sum is σ = 2327925600. Its totient is φ = 190729728.

The previous prime is 669078127. The next prime is 669078149. The reversal of 669078144 is 441870966.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 669078144.

It is not an unprimeable number, because it can be changed into a prime (669078149) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1523877 + ... + 1524315.

It is an arithmetic number, because the mean of its divisors is an integer number (8083075).

Almost surely, 2669078144 is an apocalyptic number.

669078144 is a gapful number since it is divisible by the number (64) 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 669078144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163962800).

669078144 is an abundant number, since it is smaller than the sum of its proper divisors (1658847456).

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

669078144 is an equidigital number, since it uses as much as digits as its factorization.

669078144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 669078144 is about 25866.5448794384. The cubic root of 669078144 is about 874.6325070108.

The spelling of 669078144 in words is "six hundred sixty-nine million, seventy-eight thousand, one hundred forty-four".