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16945407164 = 2272611314143
BaseRepresentation
bin11111100100000011…
…00110010010111100
31121201221202212121202
433302001212102330
5234201011012124
611441250515032
71136631404300
oct176201462274
947657685552
1016945407164
117206271234
12334ab95a78
1317a08ba65a
14b6a74bd00
156929e15ae
hex3f20664bc

16945407164 has 36 divisors (see below), whose sum is σ = 34504089984. Its totient is φ = 7260615936.

The previous prime is 16945407161. The next prime is 16945407233. The reversal of 16945407164 is 46170454961.

16945407164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16945407161) 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, 1191077 + ... + 1205219.

It is an arithmetic number, because the mean of its divisors is an integer number (958446944).

Almost surely, 216945407164 is an apocalyptic number.

16945407164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16945407164 is an abundant number, since it is smaller than the sum of its proper divisors (17558682820).

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

16945407164 is a wasteful number, since it uses less digits than its factorization.

16945407164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20274 (or 20265 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 16945407164 in words is "sixteen billion, nine hundred forty-five million, four hundred seven thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 6113 12226 14143 24452 28286 42791 56572 85582 99001 171164 198002 299537 396004 599074 693007 1198148 1386014 2772028 86456159 172912318 345824636 605193113 1210386226 2420772452 4236351791 8472703582 16945407164