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2747271168 = 2113416561
BaseRepresentation
bin1010001111000000…
…0000100000000000
321002110110211120000
42203300000200000
521111300134133
61132335320000
7125036263635
oct24360004000
97073424500
102747271168
11118a843544
12648080000
1334a227a55
141c0c1a18c
151112c1413
hexa3c00800

2747271168 has 120 divisors (see below), whose sum is σ = 8206388190. Its totient is φ = 915701760.

The previous prime is 2747271157. The next prime is 2747271169. The reversal of 2747271168 is 8611727472.

It can be written as a sum of positive squares in only one way, i.e., 2717328384 + 29942784 = 52128^2 + 5472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2747271169) 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 9 ways as a sum of consecutive naturals, for example, 157608 + ... + 174168.

Almost surely, 22747271168 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 2747271168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103194095).

2747271168 is an abundant number, since it is smaller than the sum of its proper divisors (5459117022).

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

2747271168 is an equidigital number, since it uses as much as digits as its factorization.

2747271168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16595 (or 16566 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 2747271168 is about 52414.4175585306. The cubic root of 2747271168 is about 1400.5561001682.

The spelling of 2747271168 in words is "two billion, seven hundred forty-seven million, two hundred seventy-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4608 5184 6144 6912 9216 10368 13824 16561 18432 20736 27648 33122 41472 49683 55296 66244 82944 99366 132488 149049 165888 198732 264976 298098 397464 447147 529952 596196 794928 894294 1059904 1192392 1341441 1589856 1788588 2119808 2384784 2682882 3179712 3577176 4239616 4769568 5365764 6359424 7154352 8479232 9539136 10731528 12718848 14308704 16958464 19078272 21463056 25437696 28617408 33916928 38156544 42926112 50875392 57234816 76313088 85852224 101750784 114469632 152626176 171704448 228939264 305252352 343408896 457878528 686817792 915757056 1373635584 2747271168