Search a number
-
+
4893697474848 = 25387132171961
BaseRepresentation
bin100011100110110011100…
…0110011000000100100000
3122022211111012011100000000
41013031213012120010200
51120134243023143343
614224044504300000
71013362246130550
oct107154706300440
918284435140000
104893697474848
111617450711a96
12670521471600
13296620915800
1412cbdb687160
158746a041ed3
hex47367198120

4893697474848 has 2592 divisors, whose sum is σ = 20258862099840. Its totient is φ = 1131926814720.

The previous prime is 4893697474819. The next prime is 4893697474931. The reversal of 4893697474848 is 8484747963984.

4893697474848 is a `hidden beast` number, since 4 + 8 + 9 + 3 + 6 + 97 + 47 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

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 431 ways as a sum of consecutive naturals, for example, 80224548738 + ... + 80224548798.

It is an arithmetic number, because the mean of its divisors is an integer number (7815919020).

Almost surely, 24893697474848 is an apocalyptic number.

4893697474848 is a gapful number since it is divisible by the number (48) 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 4893697474848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10129431049920).

4893697474848 is an abundant number, since it is smaller than the sum of its proper divisors (15365164624992).

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

4893697474848 is a wasteful number, since it uses less digits than its factorization.

4893697474848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 122 counting only the distinct ones).

The product of its digits is 9364045824, while the sum is 81.

The spelling of 4893697474848 in words is "four trillion, eight hundred ninety-three billion, six hundred ninety-seven million, four hundred seventy-four thousand, eight hundred forty-eight".