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164718961 = 1119788129
BaseRepresentation
bin10011101000101…
…10100101110001
3102110221120221021
421310112211301
5314132001321
624202255441
74040042131
oct1164264561
9373846837
10164718961
1184a85880
12471b7581
1328183654
1417c3aac1
15e6da941
hex9d16971

164718961 has 8 divisors (see below), whose sum is σ = 189151200. Its totient is φ = 141863040.

The previous prime is 164718943. The next prime is 164718977. The reversal of 164718961 is 169817461.

164718961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 164718961 - 27 = 164718833 is a prime.

It is a super-2 number, since 2×1647189612 = 54264672225839042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164718941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393856 + ... + 394273.

It is an arithmetic number, because the mean of its divisors is an integer number (23643900).

Almost surely, 2164718961 is an apocalyptic number.

164718961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164718961 is a deficient number, since it is larger than the sum of its proper divisors (24432239).

164718961 is a wasteful number, since it uses less digits than its factorization.

164718961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788159.

The product of its digits is 72576, while the sum is 43.

The square root of 164718961 is about 12834.2884882646. The cubic root of 164718961 is about 548.1690753359.

The spelling of 164718961 in words is "one hundred sixty-four million, seven hundred eighteen thousand, nine hundred sixty-one".

Divisors: 1 11 19 209 788129 8669419 14974451 164718961