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2164543488 = 2123271827
BaseRepresentation
bin1000000100000100…
…0101000000000000
312120211222012110100
42001001011000000
513413110342423
6554441402400
7104432213262
oct20101050000
95524865410
102164543488
11a10912618
12504a99400
13286598b83
1416768bb32
15ca066343
hex81045000

2164543488 has 156 divisors (see below), whose sum is σ = 6348090528. Its totient is φ = 710492160.

The previous prime is 2164543487. The next prime is 2164543529. The reversal of 2164543488 is 8843454612.

2164543488 is a `hidden beast` number, since 2 + 1 + 64 + 543 + 48 + 8 = 666.

It is a super-2 number, since 2×21645434882 = 9370497022886412288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164543487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2616931 + ... + 2617757.

It is an arithmetic number, because the mean of its divisors is an integer number (40692888).

Almost surely, 22164543488 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 2164543488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174045264).

2164543488 is an abundant number, since it is smaller than the sum of its proper divisors (4183547040).

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

2164543488 is an equidigital number, since it uses as much as digits as its factorization.

2164543488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 903 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 2164543488 is about 46524.6546252629. The cubic root of 2164543488 is about 1293.5665355752.

The spelling of 2164543488 in words is "two billion, one hundred sixty-four million, five hundred forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 256 284 288 384 426 512 568 576 639 768 827 852 1024 1136 1152 1278 1536 1654 1704 2048 2272 2304 2481 2556 3072 3308 3408 4096 4544 4608 4962 5112 6144 6616 6816 7443 9088 9216 9924 10224 12288 13232 13632 14886 18176 18432 19848 20448 26464 27264 29772 36352 36864 39696 40896 52928 54528 58717 59544 72704 79392 81792 105856 109056 117434 119088 145408 158784 163584 176151 211712 218112 234868 238176 290816 317568 327168 352302 423424 436224 469736 476352 528453 635136 654336 704604 846848 872448 939472 952704 1056906 1270272 1308672 1409208 1693696 1878944 1905408 2113812 2540544 2617344 2818416 3387392 3757888 3810816 4227624 5081088 5636832 7515776 7621632 8455248 10162176 11273664 15031552 15243264 16910496 22547328 30063104 30486528 33820992 45094656 60126208 67641984 90189312 120252416 135283968 180378624 240504832 270567936 360757248 541135872 721514496 1082271744 2164543488