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27120471905472 = 2631122637567263
BaseRepresentation
bin1100010101010011110100…
…00110000001010011000000
310120000200200022120101010220
412022221322012001103000
512023320211301433342
6133402550042423040
75466250401420201
oct612517206012300
9116020608511126
1027120471905472
1187068003a8020
123060167201a80
1312195ac7c2c1a
1469a8d035b5a8
153206ebba45ec
hex18aa7a1814c0

27120471905472 has 112 divisors (see below), whose sum is σ = 78283139945472. Its totient is φ = 8217947284480.

The previous prime is 27120471905383. The next prime is 27120471905507. The reversal of 27120471905472 is 27450917402172.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47525713 + ... + 48092975.

It is an arithmetic number, because the mean of its divisors is an integer number (698956606656).

Almost surely, 227120471905472 is an apocalyptic number.

27120471905472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27120471905472 is an abundant number, since it is smaller than the sum of its proper divisors (51162668040000).

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

27120471905472 is a wasteful number, since it uses less digits than its factorization.

27120471905472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589926 (or 589916 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 27120471905472 in words is "twenty-seven trillion, one hundred twenty billion, four hundred seventy-one million, nine hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 22637 45274 67911 90548 135822 181096 249007 271644 362192 498014 543288 567263 724384 747021 996028 1086576 1134526 1448768 1494042 1701789 1992056 2173152 2269052 2988084 3403578 3984112 4346304 4538104 5976168 6239893 6807156 7968224 9076208 11952336 12479786 13614312 15936448 18152416 18719679 23904672 24959572 27228624 36304832 37439358 47809344 49919144 54457248 74878716 99838288 108914496 149757432 199676576 299514864 399353152 599029728 1198059456 12841132531 25682265062 38523397593 51364530124 77046795186 102729060248 141252457841 154093590372 205458120496 282504915682 308187180744 410916240992 423757373523 565009831364 616374361488 821832481984 847514747046 1130019662728 1232748722976 1695029494092 2260039325456 2465497445952 3390058988184 4520078650912 6780117976368 9040157301824 13560235952736 27120471905472