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13242530664 = 233211177691279
BaseRepresentation
bin11000101010101000…
…01111101101101000
31021011220011020222200
430111110033231220
5204110041440124
610030013220200
7646106440056
oct142524175550
937156136880
1013242530664
115686077320
122696a91660
1313306ca67c
148d8a5d1d6
155278acbc9
hex31550fb68

13242530664 has 192 divisors, whose sum is σ = 41513472000. Its totient is φ = 3768975360.

The previous prime is 13242530659. The next prime is 13242530671. The reversal of 13242530664 is 46603524231.

13242530664 is a `hidden beast` number, since 1 + 324 + 25 + 306 + 6 + 4 = 666.

13242530664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10353177 + ... + 10354455.

It is an arithmetic number, because the mean of its divisors is an integer number (216216000).

Almost surely, 213242530664 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 13242530664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20756736000).

13242530664 is an abundant number, since it is smaller than the sum of its proper divisors (28270941336).

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

13242530664 is a wasteful number, since it uses less digits than its factorization.

13242530664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 13242530664 in words is "thirteen billion, two hundred forty-two million, five hundred thirty thousand, six hundred sixty-four".