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2493667008 = 263271943757
BaseRepresentation
bin1001010010100010…
…0101011011000000
320102210021102001100
42110220211123000
520101334321013
61051235534400
7115536551130
oct22450453300
96383242040
102493667008
11106a678a28
1259715a400
13309822a11
14199282ac0
15e8dc9473
hex94a256c0

2493667008 has 336 divisors, whose sum is σ = 8810264320. Its totient is φ = 658409472.

The previous prime is 2493667003. The next prime is 2493667019. The reversal of 2493667008 is 8007663942.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (2493667003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3293766 + ... + 3294522.

Almost surely, 22493667008 is an apocalyptic number.

2493667008 is a gapful number since it is divisible by the number (28) 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 2493667008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4405132160).

2493667008 is an abundant number, since it is smaller than the sum of its proper divisors (6316597312).

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

2493667008 is a wasteful number, since it uses less digits than its factorization.

2493667008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2493667008 is about 49936.6299223326. The cubic root of 2493667008 is about 1356.0618135604.

The spelling of 2493667008 in words is "two billion, four hundred ninety-three million, six hundred sixty-seven thousand, eight".