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13146322032 = 243410143767
BaseRepresentation
bin11000011111001010…
…01111010001110000
31020221012010100120000
430033211033101300
5203410424301112
610012255150000
7643530615324
oct141745172160
936835110500
1013146322032
115636835358
12266a815300
1313167b379c
148c9d77984
1551e2067dc
hex30f94f470

13146322032 has 50 divisors (see below), whose sum is σ = 38049273768. Its totient is φ = 4382106912.

The previous prime is 13146322027. The next prime is 13146322067. The reversal of 13146322032 is 23022364131.

13146322032 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 632 + 20 + 3 + 2 = 666.

13146322032 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 13146321987 and 13146322005.

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 5070588 + ... + 5073179.

Almost surely, 213146322032 is an apocalyptic number.

13146322032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13146322032 is an abundant number, since it is smaller than the sum of its proper divisors (24902951736).

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

13146322032 is a wasteful number, since it uses less digits than its factorization.

13146322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10143787 (or 10143772 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13146322032 its reverse (23022364131), we get a palindrome (36168686163).

The spelling of 13146322032 in words is "thirteen billion, one hundred forty-six million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 10143767 20287534 30431301 40575068 60862602 81150136 91293903 121725204 162300272 182587806 243450408 273881709 365175612 486900816 547763418 730351224 821645127 1095526836 1460702448 1643290254 2191053672 3286580508 4382107344 6573161016 13146322032