Search a number
-
+
16424289420 = 223572112371311
BaseRepresentation
bin11110100101111011…
…01100010010001100
31120101122012100110120
433102331230102030
5232114104230140
611313433304540
71121003104500
oct172275542214
946348170416
1016424289420
116a690a0810
123224565150
131719950466
14b1b45a300
15661da61d0
hex3d2f6c48c

16424289420 has 576 divisors, whose sum is σ = 61953196032. Its totient is φ = 3208128000.

The previous prime is 16424289419. The next prime is 16424289439. The reversal of 16424289420 is 2498242461.

16424289420 = T111 + T112 + ... + T4618.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52811065 + ... + 52811375.

It is an arithmetic number, because the mean of its divisors is an integer number (107557632).

Almost surely, 216424289420 is an apocalyptic number.

16424289420 is a gapful number since it is divisible by the number (10) 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 16424289420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30976598016).

16424289420 is an abundant number, since it is smaller than the sum of its proper divisors (45528906612).

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

16424289420 is a wasteful number, since it uses less digits than its factorization.

16424289420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 16424289420 in words is "sixteen billion, four hundred twenty-four million, two hundred eighty-nine thousand, four hundred twenty".