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2739050496 = 211327132371
BaseRepresentation
bin1010001101000010…
…1001100000000000
321001220000011220200
42203100221200000
521102144103441
61131443205200
7124606354650
oct24320514000
97056004820
102739050496
1111861391a6
12645376800
1334860a050
141bdaba360
151106ea7b6
hexa3429800

2739050496 has 576 divisors, whose sum is σ = 10302888960. Its totient is φ = 681246720.

The previous prime is 2739050491. The next prime is 2739050497. The reversal of 2739050496 is 6940509372.

It is a happy number.

2739050496 is a `hidden beast` number, since 2 + 73 + 90 + 5 + 0 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2739050491) 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, 38578141 + ... + 38578211.

It is an arithmetic number, because the mean of its divisors is an integer number (17886960).

Almost surely, 22739050496 is an apocalyptic number.

2739050496 is a gapful number since it is divisible by the number (26) 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 2739050496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151444480).

2739050496 is an abundant number, since it is smaller than the sum of its proper divisors (7563838464).

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

2739050496 is a wasteful number, since it uses less digits than its factorization.

2739050496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 2739050496 is about 52335.9388565831. The cubic root of 2739050496 is about 1399.1577410062.

The spelling of 2739050496 in words is "two billion, seven hundred thirty-nine million, fifty thousand, four hundred ninety-six".