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13053452004 = 22321429253741
BaseRepresentation
bin11000010100000101…
…11101111011100100
31020200201101001211100
430022002331323210
5203213140431004
65555140440100
7641322340245
oct141202757344
936621331740
1013053452004
11559937376a
1226436a9030
1313004983c8
148bb8c0ccc
15515eae739
hex30a0bdee4

13053452004 has 36 divisors (see below), whose sum is σ = 33019446460. Its totient is φ = 4348088640.

The previous prime is 13053451997. The next prime is 13053452011. The reversal of 13053452004 is 40025435031.

13053452004 is a `hidden beast` number, since 130 + 5 + 3 + 4 + 520 + 0 + 4 = 666.

13053452004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13053451997) and next prime (13053452011).

It can be written as a sum of positive squares in 2 ways, for example, as 1870389504 + 11183062500 = 43248^2 + 105750^2 .

It is a tau number, because it is divible by the number of its divisors (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 11 ways as a sum of consecutive naturals, for example, 75427 + ... + 178314.

Almost surely, 213053452004 is an apocalyptic number.

It is an amenable number.

13053452004 is an abundant number, since it is smaller than the sum of its proper divisors (19965994456).

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

13053452004 is a wasteful number, since it uses less digits than its factorization.

13053452004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255180 (or 255175 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 13053452004 its reverse (40025435031), we get a palindrome (53078887035).

The spelling of 13053452004 in words is "thirteen billion, fifty-three million, four hundred fifty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 1429 2858 4287 5716 8574 12861 17148 25722 51444 253741 507482 761223 1014964 1522446 2283669 3044892 4567338 9134676 362595889 725191778 1087787667 1450383556 2175575334 3263363001 4351150668 6526726002 13053452004