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6456134432 = 251119793103
BaseRepresentation
bin1100000001101000…
…01100101100100000
3121122221100121111002
412000310030230200
5101210232300212
62544345211132
7315663144236
oct60064145440
917587317432
106456134432
1128133573a0
121302190aa8
137bb7329b7
14453626956
1527bbd8ac2
hex180d0cb20

6456134432 has 48 divisors (see below), whose sum is σ = 13936551552. Its totient is φ = 2919678720.

The previous prime is 6456134417. The next prime is 6456134437. The reversal of 6456134432 is 2344316546.

It is not an unprimeable number, because it can be changed into a prime (6456134437) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22793 + ... + 115895.

It is an arithmetic number, because the mean of its divisors is an integer number (290344824).

Almost surely, 26456134432 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 6456134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6968275776).

6456134432 is an abundant number, since it is smaller than the sum of its proper divisors (7480417120).

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

6456134432 is a wasteful number, since it uses less digits than its factorization.

6456134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93321 (or 93313 counting only the distinct ones).

The product of its digits is 207360, while the sum is 38.

The square root of 6456134432 is about 80350.0742501213. The cubic root of 6456134432 is about 1862.0479266266.

The spelling of 6456134432 in words is "six billion, four hundred fifty-six million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 197 352 394 788 1576 2167 3152 4334 6304 8668 17336 34672 69344 93103 186206 372412 744824 1024133 1489648 2048266 2979296 4096532 8193064 16386128 18341291 32772256 36682582 73365164 146730328 201754201 293460656 403508402 586921312 807016804 1614033608 3228067216 6456134432