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421263362124 = 22321117731376257
BaseRepresentation
bin1100010000101010100…
…00001100100001001100
31111021100120100002021100
412020111100030201030
523400221410041444
6521305315503100
742302204332263
oct6102520144114
91437316302240
10421263362124
11152725205050
12697882b7a90
1330956993817
141656418d5da
15ae58518e69
hex621540c84c

421263362124 has 288 divisors, whose sum is σ = 1256150016576. Its totient is φ = 117616803840.

The previous prime is 421263362053. The next prime is 421263362129.

421263362124 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 6 + 3 + 3 + 621 + 24 = 666.

421263362124 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (421263362129) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 67323604 + ... + 67329860.

It is an arithmetic number, because the mean of its divisors is an integer number (4361632002).

Almost surely, 2421263362124 is an apocalyptic number.

421263362124 is a gapful number since it is divisible by the number (44) 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 421263362124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628075008288).

421263362124 is an abundant number, since it is smaller than the sum of its proper divisors (834886654452).

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

421263362124 is a wasteful number, since it uses less digits than its factorization.

421263362124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6505 (or 6500 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 421263 and 362124, that added together give a palindrome (783387).

The spelling of 421263362124 in words is "four hundred twenty-one billion, two hundred sixty-three million, three hundred sixty-two thousand, one hundred twenty-four".