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13152658449 = 37397313421
BaseRepresentation
bin11000011111111010…
…11010010000010001
31020221122001021111010
430033331122100101
5203414040032244
610013043041133
7643635516000
oct141775322021
936848037433
1013152658449
11563a372a67
1226709701a9
131317bc1948
148cab46c37
1551ea58eb9
hex30ff5a411

13152658449 has 64 divisors (see below), whose sum is σ = 20777254400. Its totient is φ = 7396945920.

The previous prime is 13152658417. The next prime is 13152658483. The reversal of 13152658449 is 94485625131.

13152658449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13152658449 - 25 = 13152658417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13152658398 and 13152658407.

It is not an unprimeable number, because it can be changed into a prime (13152658499) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 31241259 + ... + 31241679.

It is an arithmetic number, because the mean of its divisors is an integer number (324644600).

Almost surely, 213152658449 is an apocalyptic number.

It is an amenable number.

13152658449 is a deficient number, since it is larger than the sum of its proper divisors (7624595951).

13152658449 is an equidigital number, since it uses as much as digits as its factorization.

13152658449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 841 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The spelling of 13152658449 in words is "thirteen billion, one hundred fifty-two million, six hundred fifty-eight thousand, four hundred forty-nine".

Divisors: 1 3 7 21 49 97 147 291 313 343 421 679 939 1029 1263 2037 2191 2947 4753 6573 8841 14259 15337 20629 30361 33271 40837 46011 61887 91083 99813 107359 122511 131773 144403 212527 285859 322077 395319 433209 637581 857577 922411 1487689 2001013 2767233 4463067 6003039 6456877 10413823 12781981 14007091 19370631 31241469 38345943 42021273 45198139 89473867 135594417 268421601 626317069 1878951207 4384219483 13152658449