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669126144 = 2933671187
BaseRepresentation
bin100111111000100…
…000111000000000
31201122002010111210
4213320200320000
52332244014034
6150221410120
722403323041
oct4770407000
91648063453
10669126144
11313782415
12168109940
13a881c73b
1464c1c8c8
153db248e9
hex27e20e00

669126144 has 80 divisors (see below), whose sum is σ = 1788956928. Its totient is φ = 222246912.

The previous prime is 669126131. The next prime is 669126197. The reversal of 669126144 is 441621966.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 563119 + ... + 564305.

Almost surely, 2669126144 is an apocalyptic number.

669126144 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 669126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894478464).

669126144 is an abundant number, since it is smaller than the sum of its proper divisors (1119830784).

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

669126144 is a wasteful number, since it uses less digits than its factorization.

669126144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1559 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 669126144 is about 25867.4727022181. The cubic root of 669126144 is about 874.6534220349.

The spelling of 669126144 in words is "six hundred sixty-nine million, one hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 367 384 512 734 768 1101 1187 1468 1536 2202 2374 2936 3561 4404 4748 5872 7122 8808 9496 11744 14244 17616 18992 23488 28488 35232 37984 46976 56976 70464 75968 93952 113952 140928 151936 187904 227904 281856 303872 435629 455808 563712 607744 871258 911616 1306887 1742516 1823232 2613774 3485032 5227548 6970064 10455096 13940128 20910192 27880256 41820384 55760512 83640768 111521024 167281536 223042048 334563072 669126144