Search a number
-
+
425327867712 = 26321117193741137
BaseRepresentation
bin1100011000001111000…
…01000011011101000000
31111122211211102100202100
412030013201003131000
523432032413231322
6523220512150400
742505010136636
oct6140741033500
91448754370670
10425327867712
11154420547280
126a521538400
1331153a7bc07
141682bcd5356
15b0e5281dac
hex6307843740

425327867712 has 1344 divisors, whose sum is σ = 1570879215360. Its totient is φ = 108291686400.

The previous prime is 425327867711. The next prime is 425327867719. The reversal of 425327867712 is 217768723524.

It is a happy number.

425327867712 is a `hidden beast` number, since 42 + 532 + 7 + 8 + 67 + 7 + 1 + 2 = 666.

It is a super-2 number, since 2×4253278677122 (a number of 24 digits) contains 22 as substring.

Its product of digits (7902720) is a multiple of the sum of its prime factors (280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425327867711) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3104582908 + ... + 3104583044.

It is an arithmetic number, because the mean of its divisors is an integer number (1168808940).

Almost surely, 2425327867712 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 425327867712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785439607680).

425327867712 is an abundant number, since it is smaller than the sum of its proper divisors (1145551347648).

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

425327867712 is a wasteful number, since it uses less digits than its factorization.

425327867712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 267 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 425327867712 in words is "four hundred twenty-five billion, three hundred twenty-seven million, eight hundred sixty-seven thousand, seven hundred twelve".