Search a number
-
+
423744564192 = 253231371519277
BaseRepresentation
bin1100010101010010010…
…01001110101111100000
31111111202111011012122020
412022221021032233200
523420312102023232
6522355432341440
742420533236455
oct6125111165740
91444674135566
10423744564192
11153788839974
126a15b244880
1330c60a40a21
141671b90982c
15b05127ee2c
hex62a924ebe0

423744564192 has 192 divisors, whose sum is σ = 1177033503744. Its totient is φ = 133218201600.

The previous prime is 423744564157. The next prime is 423744564211. The reversal of 423744564192 is 291465447324.

It is a super-2 number, since 2×4237445641922 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45672258 + ... + 45681534.

It is an arithmetic number, because the mean of its divisors is an integer number (6130382832).

Almost surely, 2423744564192 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 423744564192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588516751872).

423744564192 is an abundant number, since it is smaller than the sum of its proper divisors (753288939552).

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

423744564192 is a wasteful number, since it uses less digits than its factorization.

423744564192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9601 (or 9593 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 51.

The spelling of 423744564192 in words is "four hundred twenty-three billion, seven hundred forty-four million, five hundred sixty-four thousand, one hundred ninety-two".