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2164785304 = 2311173146679
BaseRepresentation
bin1000000100001000…
…0000000010011000
312120212102111011111
42001002000002120
513413141112204
6554450510104
7104434241263
oct20102000230
95525374144
102164785304
11a10a68270
12504b95334
13286651c66
14167711cda
15ca0b2d04
hex81080098

2164785304 has 64 divisors (see below), whose sum is σ = 4839782400. Its totient is φ = 896217600.

The previous prime is 2164785257. The next prime is 2164785313. The reversal of 2164785304 is 4035874612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23037 + ... + 69715.

It is an arithmetic number, because the mean of its divisors is an integer number (75621600).

Almost surely, 22164785304 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 2164785304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419891200).

2164785304 is an abundant number, since it is smaller than the sum of its proper divisors (2674997096).

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

2164785304 is a wasteful number, since it uses less digits than its factorization.

2164785304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46744 (or 46740 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 2164785304 is about 46527.2533468289. The cubic root of 2164785304 is about 1293.6147048449.

The spelling of 2164785304 in words is "two billion, one hundred sixty-four million, seven hundred eighty-five thousand, three hundred four".

Divisors: 1 2 4 8 11 17 22 31 34 44 62 68 88 124 136 187 248 341 374 527 682 748 1054 1364 1496 2108 2728 4216 5797 11594 23188 46376 46679 93358 186716 373432 513469 793543 1026938 1447049 1587086 2053876 2894098 3174172 4107752 5788196 6348344 8728973 11576392 15917539 17457946 24599833 31835078 34915892 49199666 63670156 69831784 98399332 127340312 196798664 270598163 541196326 1082392652 2164785304