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13500011504 = 247611975997
BaseRepresentation
bin11001001001010100…
…11101001111110000
31021211211122122022002
430210222131033300
5210122000332004
610111332033132
7655354130060
oct144452351760
937754578262
1013500011504
1157a844a501
1227491627a8
131371b5c0b5
14920d253a0
155402bd61e
hex324a9d3f0

13500011504 has 40 divisors (see below), whose sum is σ = 30382945248. Its totient is φ = 5690868480.

The previous prime is 13500011501. The next prime is 13500011507. The reversal of 13500011504 is 40511000531.

13500011504 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 (13500011501) and next prime (13500011507).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13500011501) 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 7 ways as a sum of consecutive naturals, for example, 981167 + ... + 994830.

Almost surely, 213500011504 is an apocalyptic number.

13500011504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13500011504 is an abundant number, since it is smaller than the sum of its proper divisors (16882933744).

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

13500011504 is a wasteful number, since it uses less digits than its factorization.

13500011504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976073 (or 1976067 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 13500011504 in words is "thirteen billion, five hundred million, eleven thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 244 427 488 854 976 1708 3416 6832 1975997 3951994 7903988 13831979 15807976 27663958 31615952 55327916 110655832 120535817 221311664 241071634 482143268 843750719 964286536 1687501438 1928573072 3375002876 6750005752 13500011504