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164195923948 = 22729319767247
BaseRepresentation
bin1001100011101011010…
…1101111011111101100
3120200211002121011120121
42120322311233133230
510142233124031243
6203233000254324
714601633216430
oct2307265573754
9520732534517
10164195923948
11636a9355a01
12279a4a713a4
1312639649264
147d38ca89c0
1544100141ed
hex263ad6f7ec

164195923948 has 96 divisors (see below), whose sum is σ = 354294743040. Its totient is φ = 65072609280.

The previous prime is 164195923939. The next prime is 164195923949. The reversal of 164195923948 is 849329591461.

It is a super-2 number, since 2×1641959239482 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164195923949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2408061 + ... + 2475307.

It is an arithmetic number, because the mean of its divisors is an integer number (3690570240).

Almost surely, 2164195923948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164195923948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177147371520).

164195923948 is an abundant number, since it is smaller than the sum of its proper divisors (190098819092).

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

164195923948 is a wasteful number, since it uses less digits than its factorization.

164195923948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67415 (or 67413 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 61.

The spelling of 164195923948 in words is "one hundred sixty-four billion, one hundred ninety-five million, nine hundred twenty-three thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 29 31 58 62 97 116 124 194 203 217 388 406 434 679 812 868 899 1358 1798 2716 2813 3007 3596 5626 6014 6293 11252 12028 12586 19691 21049 25172 39382 42098 67247 78764 84196 87203 134494 174406 268988 348812 470729 610421 941458 1220842 1882916 1950163 2084657 2441684 3900326 4169314 6522959 7800652 8338628 13045918 13651141 14592599 26091836 27302282 29185198 45660713 54604564 58370396 60455053 91321426 120910106 182642852 189165811 202211729 241820212 378331622 404423458 423185371 756663244 808846916 846370742 1324160677 1415482103 1692741484 2648321354 2830964206 5296642708 5661928412 5864140141 11728280282 23456560564 41048980987 82097961974 164195923948