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211027453382656 = 212616
BaseRepresentation
bin101111111110110110101000…
…011001011001000000000000
31000200012000202001200002000001
4233332312220121121000000
5210124433211031221111
62024452401310205344
762310142006432501
oct5776665031310000
91020160661602001
10211027453382656
1161270270a61a59
121b80264b1b3854
139099a5a2a6051
143a17ad72daba8
15195e4959d91c1
hexbfeda8659000

211027453382656 has 91 divisors (see below), whose sum is σ = 429036776163997. Its totient is φ = 103783993466880.

The previous prime is 211027453382623. The next prime is 211027453382677. The reversal of 211027453382656 is 656283354720112.

The square root of 211027453382656 is 14526784.

The cubic root of 211027453382656 is 59536.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 56520564576256 + 154506888806400 = 7518016^2 + 12430080^2 .

It is a super-2 number, since 2×2110274533826562 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211027453382597 and 211027453382606.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 3459466448866 + ... + 3459466448926.

Almost surely, 2211027453382656 is an apocalyptic number.

211027453382656 is the 14526784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211027453382656

211027453382656 is an abundant number, since it is smaller than the sum of its proper divisors (218009322781341).

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

211027453382656 is an frugal number, since it uses more digits than its factorization.

211027453382656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 55.

The spelling of 211027453382656 in words is "two hundred eleven trillion, twenty-seven billion, four hundred fifty-three million, three hundred eighty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1024 1952 2048 3721 3904 4096 7442 7808 14884 15616 29768 31232 59536 62464 119072 124928 226981 238144 249856 453962 476288 907924 952576 1815848 1905152 3631696 3810304 7263392 7620608 13845841 14526784 15241216 27691682 29053568 55383364 58107136 110766728 116214272 221533456 232428544 443066912 464857088 844596301 886133824 929714176 1689192602 1772267648 3378385204 3544535296 6756770408 7089070592 13513540816 14178141184 27027081632 28356282368 51520374361 54054163264 56712564736 103040748722 108108326528 206081497444 216216653056 412162994888 432433306112 824325989776 864866612224 1648651979552 1729733224448 3297303959104 3459466448896 6594607918208 13189215836416 26378431672832 52756863345664 105513726691328 211027453382656