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164666336 = 2553791229
BaseRepresentation
bin10011101000010…
…01101111100000
3102110211220202012
421310021233200
5314123310321
624201212052
74036432532
oct1164115740
9373756665
10164666336
1184a4a28a
1247191028
1328165703
1417c25852
15e6ca05b
hex9d09be0

164666336 has 48 divisors (see below), whose sum is σ = 334756800. Its totient is φ = 79692288.

The previous prime is 164666329. The next prime is 164666339. The reversal of 164666336 is 633666461.

It is a junction number, because it is equal to n+sod(n) for n = 164666293 and 164666302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164666339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133370 + ... + 134598.

It is an arithmetic number, because the mean of its divisors is an integer number (6974100).

Almost surely, 2164666336 is an apocalyptic number.

164666336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164666336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167378400).

164666336 is an abundant number, since it is smaller than the sum of its proper divisors (170090464).

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

164666336 is a wasteful number, since it uses less digits than its factorization.

164666336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1363 counting only the distinct ones).

The product of its digits is 279936, while the sum is 41.

The square root of 164666336 is about 12832.2381524035. The cubic root of 164666336 is about 548.1106921155.

The spelling of 164666336 in words is "one hundred sixty-four million, six hundred sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 79 106 158 212 316 424 632 848 1229 1264 1696 2458 2528 4187 4916 8374 9832 16748 19664 33496 39328 65137 66992 97091 130274 133984 194182 260548 388364 521096 776728 1042192 1553456 2084384 3106912 5145823 10291646 20583292 41166584 82333168 164666336