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4914000000 = 273356713
BaseRepresentation
bin1001001001110010…
…11011000010000000
3110200110120001202000
410210321123002000
540030441000000
62131340024000
7232526211420
oct44471330200
913613501660
104914000000
1120a1908a28
12b51832000
136040aa510
143488b6480
151db61a000
hex124e5b080

4914000000 has 896 divisors, whose sum is σ = 22312214400. Its totient is φ = 1036800000.

The previous prime is 4913999971. The next prime is 4914000029. The reversal of 4914000000 is 4194.

It is an interprime number because it is at equal distance from previous prime (4913999971) and next prime (4914000029).

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 4914000000 = 1003 + 17003 = 7503 + 16503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 377999994 + ... + 378000006.

It is an arithmetic number, because the mean of its divisors is an integer number (24902025).

Almost surely, 24914000000 is an apocalyptic number.

4914000000 is a gapful number since it is divisible by the number (40) 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 4914000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11156107200).

4914000000 is an abundant number, since it is smaller than the sum of its proper divisors (17398214400).

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

4914000000 is an frugal number, since it uses more digits than its factorization.

4914000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4914000000 is about 70099.9286732875. The cubic root of 4914000000 is about 1700.1153324291.

Adding to 4914000000 its reverse (4194), we get a palindrome (4914004194).

The spelling of 4914000000 in words is "four billion, nine hundred fourteen million", and thus it is an aban number.