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664191864 = 233272316073
BaseRepresentation
bin100111100101101…
…100001101111000
31201021210102221200
4213211230031320
52330013114424
6145523534200
722313352300
oct4745541570
91637712850
10664191864
11310a121a6
1216652a360
13a77b284b
14642d6600
153d49c8c9
hex2796c378

664191864 has 144 divisors (see below), whose sum is σ = 2160400320. Its totient is φ = 183617280.

The previous prime is 664191863. The next prime is 664191893. The reversal of 664191864 is 468191466.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664191863) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106332 + ... + 112404.

It is an arithmetic number, because the mean of its divisors is an integer number (15002780).

Almost surely, 2664191864 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 664191864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080200160).

664191864 is an abundant number, since it is smaller than the sum of its proper divisors (1496208456).

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

664191864 is a wasteful number, since it uses less digits than its factorization.

664191864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6130 (or 6116 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 664191864 is about 25771.9200681672. The cubic root of 664191864 is about 872.4981547458.

The spelling of 664191864 in words is "six hundred sixty-four million, one hundred ninety-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 49 56 62 63 72 84 93 98 124 126 147 168 186 196 217 248 252 279 294 372 392 434 441 504 558 588 651 744 868 882 1116 1176 1302 1519 1736 1764 1953 2232 2604 3038 3528 3906 4557 5208 6073 6076 7812 9114 12146 12152 13671 15624 18219 18228 24292 27342 36438 36456 42511 48584 54657 54684 72876 85022 109314 109368 127533 145752 170044 188263 218628 255066 297577 340088 376526 382599 437256 510132 564789 595154 753052 765198 892731 1020264 1129578 1190308 1317841 1506104 1530396 1694367 1785462 2259156 2380616 2635682 2678193 3060792 3388734 3570924 3953523 4518312 5271364 5356386 6777468 7141848 7907046 9224887 10542728 10712772 11860569 13554936 15814092 18449774 21425544 23721138 27674661 31628184 36899548 47442276 55349322 73799096 83023983 94884552 110698644 166047966 221397288 332095932 664191864