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160240890601 = 11215122412
BaseRepresentation
bin1001010100111100011…
…0011111001011101001
3120022121110111122210001
42111033012133023221
510111133131444401
6201340314223001
714401630045111
oct2251706371351
9508543448701
10160240890601
1161a59894900
1227080424a61
131215913cc3c
147a818dc041
15427cbc2601
hex254f19f2e9

160240890601 has 27 divisors (see below), whose sum is σ = 178045479927. Its totient is φ = 144108360000.

The previous prime is 160240890599. The next prime is 160240890611. The reversal of 160240890601 is 106098042061.

It is a happy number.

The square root of 160240890601 is 400301.

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

It can be written as a sum of positive squares in only one way, i.e., 120512428201 + 39728462400 = 347149^2 + 199320^2 .

It is not a de Polignac number, because 160240890601 - 21 = 160240890599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (160240890611) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 664899841 + ... + 664900081.

Almost surely, 2160240890601 is an apocalyptic number.

160240890601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

160240890601 is the 400301-st square number.

160240890601 is the 200151-st centered octagonal number.

It is an amenable number.

160240890601 is a deficient number, since it is larger than the sum of its proper divisors (17804589326).

160240890601 is an frugal number, since it uses more digits than its factorization.

160240890601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 160240890601 in words is "one hundred sixty billion, two hundred forty million, eight hundred ninety thousand, six hundred one".

Divisors: 1 11 121 151 241 1661 2651 18271 22801 29161 36391 58081 250811 400301 638891 2758921 4403311 5495041 7027801 8770231 60445451 96472541 664899961 1061197951 1324304881 14567353691 160240890601