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16970533441 = 172792972
BaseRepresentation
bin11111100111000010…
…11100101001000001
31121210201001102101121
433303201130221001
5234223424032231
611443545232241
71140355103611
oct176341345101
947721042347
1016970533441
117219472a54
123357492681
1317a5b77184
14b6dc0ca41
15694d06311
hex3f385ca41

16970533441 has 27 divisors (see below), whose sum is σ = 18448780329. Its totient is φ = 15607507968.

The previous prime is 16970533427. The next prime is 16970533451. The reversal of 16970533441 is 14433507961.

The square root of 16970533441 is 130271.

It is a perfect power (a square), and thus also a powerful number.

16970533441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 993573441 + 15976960000 = 31521^2 + 126400^2 .

It is not a de Polignac number, because 16970533441 - 213 = 16970525249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16970533421) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 174953905 + ... + 174954001.

Almost surely, 216970533441 is an apocalyptic number.

16970533441 is the 130271-st square number.

16970533441 is the 65136-th centered octagonal number.

It is an amenable number.

16970533441 is a deficient number, since it is larger than the sum of its proper divisors (1478246888).

16970533441 is an frugal number, since it uses more digits than its factorization.

16970533441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 16970533441 in words is "sixteen billion, nine hundred seventy million, five hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 17 79 97 289 1343 1649 6241 7663 9409 22831 28033 106097 130271 159953 605377 743311 1803649 2214607 2719201 10291409 12636287 58721569 174953953 214816879 998266673 16970533441