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164601696 = 2537244943
BaseRepresentation
bin10011100111110…
…01111101100000
3102110201122002010
421303321331200
5314114223241
624155552520
74036043220
oct1163717540
9373648063
10164601696
1184a05766
124715b740
132814216c
1417c0a080
15e6b5d16
hex9cf9f60

164601696 has 48 divisors (see below), whose sum is σ = 493807104. Its totient is φ = 47028864.

The previous prime is 164601691. The next prime is 164601719. The reversal of 164601696 is 696106461.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164601691) 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, 121800 + ... + 123143.

It is an arithmetic number, because the mean of its divisors is an integer number (10287648).

Almost surely, 2164601696 is an apocalyptic number.

164601696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164601696 is an abundant number, since it is smaller than the sum of its proper divisors (329205408).

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

164601696 is a wasteful number, since it uses less digits than its factorization.

164601696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244963 (or 244955 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 164601696 is about 12829.7192486819. The cubic root of 164601696 is about 548.0389621897.

The spelling of 164601696 in words is "one hundred sixty-four million, six hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 244943 489886 734829 979772 1469658 1714601 1959544 2939316 3429202 3919088 5143803 5878632 6858404 7838176 10287606 11757264 13716808 20575212 23514528 27433616 41150424 54867232 82300848 164601696