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15313141512 = 2332212682521
BaseRepresentation
bin11100100001011101…
…11111111100001000
31110112012101012002100
432100232333330020
5222330131012022
611011301433400
71051321361304
oct162056777410
943465335070
1015313141512
116548961959
122b7440b860
1315a06985a6
14a53a58d04
155e956c1ac
hex390bbff08

15313141512 has 24 divisors (see below), whose sum is σ = 41473091790. Its totient is φ = 5104380480.

The previous prime is 15313141433. The next prime is 15313141513. The reversal of 15313141512 is 21514131351.

15313141512 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 3 + 141 + 512 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10402776036 + 4910365476 = 101994^2 + 70074^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×153131415122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15313141513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106341189 + ... + 106341332.

Almost surely, 215313141512 is an apocalyptic number.

15313141512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15313141512 is an abundant number, since it is smaller than the sum of its proper divisors (26159950278).

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

15313141512 is a wasteful number, since it uses less digits than its factorization.

15313141512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212682533 (or 212682526 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

Adding to 15313141512 its reverse (21514131351), we get a palindrome (36827272863).

The spelling of 15313141512 in words is "fifteen billion, three hundred thirteen million, one hundred forty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 212682521 425365042 638047563 850730084 1276095126 1701460168 1914142689 2552190252 3828285378 5104380504 7656570756 15313141512