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4278434496 = 263729313541
BaseRepresentation
bin1111111100000011…
…1011101011000000
3102001011121222202220
43333000323223000
532230234400441
61544313411040
7211011043650
oct37700735300
912034558686
104278434496
1118a6079186
129b4a09a80
1353250b65b
142c8312360
151a0924466
hexff03bac0

4278434496 has 224 divisors, whose sum is σ = 13818900480. Its totient is φ = 1141862400.

The previous prime is 4278434471. The next prime is 4278434533. The reversal of 4278434496 is 6944348724.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206486 + ... + 1210026.

It is an arithmetic number, because the mean of its divisors is an integer number (61691520).

Almost surely, 24278434496 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 4278434496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909450240).

4278434496 is an abundant number, since it is smaller than the sum of its proper divisors (9540465984).

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

4278434496 is a wasteful number, since it uses less digits than its factorization.

4278434496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3613 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The square root of 4278434496 is about 65409.7431274577. The cubic root of 4278434496 is about 1623.4102949241.

The spelling of 4278434496 in words is "four billion, two hundred seventy-eight million, four hundred thirty-four thousand, four hundred ninety-six".