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16132546164 = 2237227436303
BaseRepresentation
bin11110000011001001…
…10001111001110100
31112122022020020221210
433001210301321310
5231014412434124
611224452241420
71110531244200
oct170144617164
945568206853
1016132546164
116929446789
123162910270
1316a1383907
14ad07d5b00
15646478a29
hex3c1931e74

16132546164 has 36 divisors (see below), whose sum is σ = 43788341184. Its totient is φ = 4609298736.

The previous prime is 16132546099. The next prime is 16132546169. The reversal of 16132546164 is 46164523161.

16132546164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×161325461642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16132546169) 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 11 ways as a sum of consecutive naturals, for example, 13717564 + ... + 13718739.

Almost surely, 216132546164 is an apocalyptic number.

16132546164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16132546164 is an abundant number, since it is smaller than the sum of its proper divisors (27655795020).

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

16132546164 is a wasteful number, since it uses less digits than its factorization.

16132546164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27436324 (or 27436315 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The spelling of 16132546164 in words is "sixteen billion, one hundred thirty-two million, five hundred forty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 27436303 54872606 82308909 109745212 164617818 192054121 329235636 384108242 576162363 768216484 1152324726 1344378847 2304649452 2688757694 4033136541 5377515388 8066273082 16132546164