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2732064768 = 21933193
BaseRepresentation
bin1010001011011000…
…0000000000000000
321001101212021022000
42202312000000000
521043402033033
61131033344000
7124463111256
oct24266000000
97041767260
102732064768
1111821a7774
12642b68000
13347032494
141bcbbc5d6
1510ecbaa13
hexa2d80000

2732064768 has 160 divisors (see below), whose sum is σ = 8136942000. Its totient is φ = 905969664.

The previous prime is 2732064763. The next prime is 2732064791. The reversal of 2732064768 is 8674602372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2732064763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14155680 + ... + 14155872.

Almost surely, 22732064768 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 2732064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068471000).

2732064768 is an abundant number, since it is smaller than the sum of its proper divisors (5404877232).

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

2732064768 is an frugal number, since it uses more digits than its factorization.

2732064768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 2732064768 is about 52269.1569474772. The cubic root of 2732064768 is about 1397.9672485834.

The spelling of 2732064768 in words is "two billion, seven hundred thirty-two million, sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 193 216 256 288 384 386 432 512 576 579 768 772 864 1024 1152 1158 1536 1544 1728 1737 2048 2304 2316 3072 3088 3456 3474 4096 4608 4632 5211 6144 6176 6912 6948 8192 9216 9264 10422 12288 12352 13824 13896 16384 18432 18528 20844 24576 24704 27648 27792 32768 36864 37056 41688 49152 49408 55296 55584 65536 73728 74112 83376 98304 98816 110592 111168 131072 147456 148224 166752 196608 197632 221184 222336 262144 294912 296448 333504 393216 395264 442368 444672 524288 589824 592896 667008 786432 790528 884736 889344 1179648 1185792 1334016 1572864 1581056 1769472 1778688 2359296 2371584 2668032 3162112 3538944 3557376 4718592 4743168 5336064 6324224 7077888 7114752 9486336 10672128 12648448 14155776 14229504 18972672 21344256 25296896 28459008 37945344 42688512 50593792 56918016 75890688 85377024 101187584 113836032 151781376 170754048 227672064 303562752 341508096 455344128 683016192 910688256 1366032384 2732064768