Search a number
-
+
70549203321 = 32292432712
BaseRepresentation
bin100000110110100001…
…1110110100101111001
320202002200202212012100
41001231003312211321
52123441044001241
652224310134013
75045163222342
oct1015503664571
9222080685170
1070549203321
1127a13205713
121180a951309
13686416932c
1435b39390c9
151c7d9479b6
hex106d0f6979

70549203321 has 81 divisors (see below), whose sum is σ = 109594286607. Its totient is φ = 43730195040.

The previous prime is 70549203301. The next prime is 70549203323. The reversal of 70549203321 is 12330294507.

The square root of 70549203321 is 265611.

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

70549203321 is a `hidden beast` number, since 70 + 549 + 20 + 3 + 3 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36994290921 + 33554912400 = 192339^2 + 183180^2 .

It is not a de Polignac number, because 70549203321 - 221 = 70547106169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (70549203323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 993650716 + ... + 993650786.

Almost surely, 270549203321 is an apocalyptic number.

70549203321 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

70549203321 is the 265611-st square number.

70549203321 is the 132806-th centered octagonal number.

It is an amenable number.

70549203321 is a deficient number, since it is larger than the sum of its proper divisors (39045083286).

70549203321 is an equidigital number, since it uses as much as digits as its factorization.

70549203321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Multiplying 70549203321 by its sum of digits (36), we get a square (2539771319556 = 15936662).

Adding to 70549203321 its reverse (12330294507), we get a palindrome (82879497828).

The spelling of 70549203321 in words is "seventy billion, five hundred forty-nine million, two hundred three thousand, three hundred twenty-one".

Divisors: 1 3 9 29 43 71 87 129 213 261 387 639 841 1247 1849 2059 2523 3053 3741 5041 5547 6177 7569 9159 11223 15123 16641 18531 27477 36163 45369 53621 59711 88537 108489 131279 146189 160863 179133 216763 265611 325467 393837 438567 482589 537399 650289 796833 1181511 1315701 1555009 1950867 2567573 3807091 4239481 4665027 6286127 7702719 9320809 11421273 12718443 13995081 18858381 23108157 27962427 34263819 38155329 56575143 83887281 110405639 182297683 270303461 331216917 546893049 810910383 993650751 1640679147 2432731149 7838800369 23516401107 70549203321