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164664696 = 2337383241
BaseRepresentation
bin10011101000010…
…01010101111000
3102110211211111110
421310021111320
5314123232241
624201200320
74036425000
oct1164112570
9373754443
10164664696
1184a49029
12471900a0
1328164a41
1417c25000
15e6c9816
hex9d09578

164664696 has 128 divisors (see below), whose sum is σ = 487872000. Its totient is φ = 46287360.

The previous prime is 164664683. The next prime is 164664701. The reversal of 164664696 is 696466461.

It is a super-2 number, since 2×1646646962 = 54228924217544832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 683136 + ... + 683376.

It is an arithmetic number, because the mean of its divisors is an integer number (3811500).

Almost surely, 2164664696 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 164664696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243936000).

164664696 is an abundant number, since it is smaller than the sum of its proper divisors (323207304).

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

164664696 is a wasteful number, since it uses less digits than its factorization.

164664696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 336 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 164664696 is about 12832.1742506872. The cubic root of 164664696 is about 548.1088724670.

The spelling of 164664696 in words is "one hundred sixty-four million, six hundred sixty-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 83 84 98 147 166 168 196 241 249 294 332 343 392 482 498 581 588 664 686 723 964 996 1029 1162 1176 1372 1446 1687 1743 1928 1992 2058 2324 2744 2892 3374 3486 4067 4116 4648 5061 5784 6748 6972 8134 8232 10122 11809 12201 13496 13944 16268 20003 20244 23618 24402 28469 32536 35427 40006 40488 47236 48804 56938 60009 70854 80012 82663 85407 94472 97608 113876 120018 140021 141708 160024 165326 170814 227752 240036 247989 280042 283416 330652 341628 420063 480072 495978 560084 661304 683256 840126 980147 991956 1120168 1680252 1960294 1983912 2940441 3360504 3920588 5880882 6861029 7841176 11761764 13722058 20583087 23523528 27444116 41166174 54888232 82332348 164664696