Search a number
-
+
1426616064 = 2835171971
BaseRepresentation
bin101010100001000…
…0110111100000000
310200102102121100000
41111002012330000
510410203203224
6353321200000
750232015336
oct12502067400
93612377300
101426616064
11672318845
12339930000
1319973a423
14d767db56
15853a10c9
hex55086f00

1426616064 has 432 divisors, whose sum is σ = 4821223680. Its totient is φ = 418037760.

The previous prime is 1426616003. The next prime is 1426616071. The reversal of 1426616064 is 4606166241.

1426616064 is a `hidden beast` number, since 1 + 42 + 6 + 6 + 1 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 20093149 + ... + 20093219.

It is an arithmetic number, because the mean of its divisors is an integer number (11160240).

Almost surely, 21426616064 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 1426616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410611840).

1426616064 is an abundant number, since it is smaller than the sum of its proper divisors (3394607616).

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

1426616064 is an equidigital number, since it uses as much as digits as its factorization.

1426616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1426616064 is about 37770.5714015555. The cubic root of 1426616064 is about 1125.7337932714.

The spelling of 1426616064 in words is "one billion, four hundred twenty-six million, six hundred sixteen thousand, sixty-four".