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10439000064 = 215361923
BaseRepresentation
bin10011011100011011…
…01000000000000000
3222221111211011000000
421232031220000000
5132334341000224
64443504000000
7516455015343
oct115615500000
928844734000
1010439000064
1144775a8289
122034000000
13ca493541c
1471059a45a
154116c70c9
hex26e368000

10439000064 has 448 divisors, whose sum is σ = 34382282400. Its totient is φ = 3153199104.

The previous prime is 10439000053. The next prime is 10439000123. The reversal of 10439000064 is 46000093401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 453869557 + ... + 453869579.

Almost surely, 210439000064 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 10439000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17191141200).

10439000064 is an abundant number, since it is smaller than the sum of its proper divisors (23943282336).

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

10439000064 is an frugal number, since it uses more digits than its factorization.

10439000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10439000064 its reverse (46000093401), we get a palindrome (56439093465).

The spelling of 10439000064 in words is "ten billion, four hundred thirty-nine million, sixty-four", and thus it is an aban number.