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1064431324000 = 255311101239521
BaseRepresentation
bin11110111110101010000…
…11010000101101100000
310202202111001022210222101
433133111003100231200
5114414423404332000
62132554253220144
7136621412653462
oct17372503205540
93682431283871
101064431324000
113804718072a0
12152363a91654
13794b5b05525
143973964a132
151ca4d03de6a
hexf7d50d0b60

1064431324000 has 192 divisors, whose sum is σ = 2881323192384. Its totient is φ = 383232000000.

The previous prime is 1064431323983. The next prime is 1064431324007. The reversal of 1064431324000 is 4231344601.

1064431324000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10644313240002 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1064431324000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064431324007) 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, 4324240 + ... + 4563760.

It is an arithmetic number, because the mean of its divisors is an integer number (15006891627).

Almost surely, 21064431324000 is an apocalyptic number.

1064431324000 is a gapful number since it is divisible by the number (10) 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 1064431324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440661596192).

1064431324000 is an abundant number, since it is smaller than the sum of its proper divisors (1816891868384).

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

1064431324000 is a wasteful number, since it uses less digits than its factorization.

1064431324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239658 (or 239640 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1064431324000 its reverse (4231344601), we get a palindrome (1068662668601).

The spelling of 1064431324000 in words is "one trillion, sixty-four billion, four hundred thirty-one million, three hundred twenty-four thousand".