Search a number
-
+
11419688448 = 29347139283
BaseRepresentation
bin10101010001010101…
…01001111000000000
31002110212011021120000
422220222221320000
5141341420012243
65125055320000
7552663515220
oct125052517000
932425137500
1011419688448
114930130a53
122268520000
1310ccb705cc
147a491c080
1546c8415d3
hex2a8aa9e00

11419688448 has 400 divisors, whose sum is σ = 39372896640. Its totient is φ = 3227848704.

The previous prime is 11419688323. The next prime is 11419688461. The reversal of 11419688448 is 84488691411.

11419688448 is a `hidden beast` number, since 1 + 1 + 4 + 196 + 8 + 8 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 11419688394 and 11419688403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40352115 + ... + 40352397.

Almost surely, 211419688448 is an apocalyptic number.

11419688448 is a gapful number since it is divisible by the number (18) 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 11419688448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686448320).

11419688448 is an abundant number, since it is smaller than the sum of its proper divisors (27953208192).

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

11419688448 is an equidigital number, since it uses as much as digits as its factorization.

11419688448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 434 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The spelling of 11419688448 in words is "eleven billion, four hundred nineteen million, six hundred eighty-eight thousand, four hundred forty-eight".