Search a number
-
+
9720284001169 = 7259275492
BaseRepresentation
bin1000110101110010111000…
…0100110011001110010001
31021102020202022020020200211
42031130232010303032101
52233224120201014134
632401234204244121
72022160461522400
oct215345604631621
937366668206624
109720284001169
113108392a03055
12110ba33540641
135568077c0191
1425866dcbd637
1511cca83ed764
hex8d72e133391

9720284001169 has 27 divisors (see below), whose sum is σ = 11503689924987. Its totient is φ = 8189372248848.

The previous prime is 9720284001119. The next prime is 9720284001179. The reversal of 9720284001169 is 9611004820279.

The square root of 9720284001169 is 3117737.

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., 8123144112769 + 1597139888400 = 2850113^2 + 1263780^2 .

It is not a de Polignac number, because 9720284001169 - 215 = 9720283968401 is a prime.

It is a super-2 number, since 2×97202840011692 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9720284001119) 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, 1287621607 + ... + 1287629155.

Almost surely, 29720284001169 is an apocalyptic number.

9720284001169 is the 3117737-th square number.

9720284001169 is the 1558869-th centered octagonal number.

It is an amenable number.

9720284001169 is a deficient number, since it is larger than the sum of its proper divisors (1783405923818).

9720284001169 is an frugal number, since it uses more digits than its factorization.

9720284001169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15230 (or 7615 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

Multiplying 9720284001169 by its sum of digits (49), we get a square (476293916057281 = 218241592).

9720284001169 divided by its sum of digits (49) gives a square (198373142881 = 4453912).

The spelling of 9720284001169 in words is "nine trillion, seven hundred twenty billion, two hundred eighty-four million, one thousand, one hundred sixty-nine".

Divisors: 1 7 49 59 413 2891 3481 7549 24367 52843 170569 369901 445391 3117737 21824159 26278069 56987401 183946483 398911807 1287625381 2792382649 3362256659 23535796613 164750576291 198373142881 1388612000167 9720284001169