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2443916496 = 2437193153233
BaseRepresentation
bin1001000110101011…
…0011010011010000
320022022122211011210
42101222303103100
520001120311441
61042301340120
7114363642660
oct22152632320
96268584153
102443916496
1110445886aa
12582567640
132cc424048
141928121a0
15e484d616
hex91ab34d0

2443916496 has 320 divisors, whose sum is σ = 8022343680. Its totient is φ = 625397760.

The previous prime is 2443916471. The next prime is 2443916509. The reversal of 2443916496 is 6946193442.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10488796 + ... + 10489028.

It is an arithmetic number, because the mean of its divisors is an integer number (25069824).

Almost surely, 22443916496 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 2443916496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011171840).

2443916496 is an abundant number, since it is smaller than the sum of its proper divisors (5578427184).

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

2443916496 is a wasteful number, since it uses less digits than its factorization.

2443916496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 2443916496 is about 49435.9838174583. The cubic root of 2443916496 is about 1346.9830196012.

The spelling of 2443916496 in words is "two billion, four hundred forty-three million, nine hundred sixteen thousand, four hundred ninety-six".