Search a number
-
+
426050144832 = 263137911319121
BaseRepresentation
bin1100011001100101001…
…00010100101001000000
31111201201011111211200210
412030302210110221000
523440022314113312
6523420313114120
742531630323064
oct6146244245100
91451634454623
10426050144832
11154761221814
126a6a33b8940
133123a5bb020
1416899bcbaa4
15b1388a4e3c
hex6332914a40

426050144832 has 224 divisors, whose sum is σ = 1240280455680. Its totient is φ = 128280821760.

The previous prime is 426050144693. The next prime is 426050144833. The reversal of 426050144832 is 238441050624.

It is a super-2 number, since 2×4260501448322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (426050144833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22272232 + ... + 22291352.

It is an arithmetic number, because the mean of its divisors is an integer number (5536966320).

Almost surely, 2426050144832 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 426050144832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620140227840).

426050144832 is an abundant number, since it is smaller than the sum of its proper divisors (814230310848).

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

426050144832 is a wasteful number, since it uses less digits than its factorization.

426050144832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19341 (or 19331 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 426050144832 in words is "four hundred twenty-six billion, fifty million, one hundred forty-four thousand, eight hundred thirty-two".