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13430515712 = 211171979257
BaseRepresentation
bin11001000001000010…
…10110100000000000
31021122222212212222212
430200201112200000
5210001203000322
610100410321252
7653551333325
oct144041264000
937588785885
1013430515712
1157721a3269
122729a29228
131360638c23
149159d4b4c
155391420e2
hex320856800

13430515712 has 192 divisors, whose sum is σ = 30427488000. Its totient is φ = 5888802816.

The previous prime is 13430515711. The next prime is 13430515717. The reversal of 13430515712 is 21751503431.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (13430515711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52258688 + ... + 52258944.

It is an arithmetic number, because the mean of its divisors is an integer number (158476500).

Almost surely, 213430515712 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 13430515712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213744000).

13430515712 is an abundant number, since it is smaller than the sum of its proper divisors (16996972288).

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

13430515712 is a wasteful number, since it uses less digits than its factorization.

13430515712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 13430515712 in words is "thirteen billion, four hundred thirty million, five hundred fifteen thousand, seven hundred twelve".