Search a number
-
+
425332518912 = 21238721719
BaseRepresentation
bin1100011000001111100…
…10110011000000000000
31111122212011011200000000
412030013302303000000
523432040111101122
6523221200000000
742505064521200
oct6140762630000
91448764150000
10425332518912
11154423133844
126a523000000
1331154a19cc2
141682c786400
15b0e58a00ac
hex6307cb3000

425332518912 has 1404 divisors, whose sum is σ = 1654068588120. Its totient is φ = 108355387392.

The previous prime is 425332518887. The next prime is 425332518943. The reversal of 425332518912 is 219815233524.

425332518912 is a `hidden beast` number, since 4 + 2 + 533 + 25 + 1 + 8 + 91 + 2 = 666.

Its product of digits (518400) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 22385922039 + ... + 22385922057.

It is an arithmetic number, because the mean of its divisors is an integer number (1178111530).

Almost surely, 2425332518912 is an apocalyptic number.

425332518912 is a gapful number since it is divisible by the number (42) 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 425332518912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827034294060).

425332518912 is an abundant number, since it is smaller than the sum of its proper divisors (1228736069208).

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

425332518912 is an frugal number, since it uses more digits than its factorization.

425332518912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 48 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 425332518912 in words is "four hundred twenty-five billion, three hundred thirty-two million, five hundred eighteen thousand, nine hundred twelve".