Search a number
-
+
9345267342009 = 34312109572
BaseRepresentation
bin1000011111111101110101…
…0101110001101010111001
31020002101202202020002110000
42013333131111301222321
52211103101414421014
631513053451543213
71653113302516644
oct207773525615271
936071682202400
109345267342009
112a8333a869485
12106b21315ab09
1352a341104771
14244455ba8a5b
15113159ed6509
hex87fdd571ab9

9345267342009 has 45 divisors (see below), whose sum is σ = 14426387061471. Its totient is φ = 6028654476240.

The previous prime is 9345267342007. The next prime is 9345267342083. The reversal of 9345267342009 is 9002437625439.

The square root of 9345267342009 is 3057003.

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

9345267342009 is a `hidden beast` number, since 9 + 3 + 4 + 526 + 73 + 42 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5817526922025 + 3527740419984 = 2411955^2 + 1878228^2 .

It is not a de Polignac number, because 9345267342009 - 21 = 9345267342007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9345267342007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 852898359 + ... + 852909315.

Almost surely, 29345267342009 is an apocalyptic number.

9345267342009 is the 3057003-rd square number.

9345267342009 is the 1528502-nd centered octagonal number.

It is an amenable number.

9345267342009 is a deficient number, since it is larger than the sum of its proper divisors (5081119719462).

9345267342009 is an frugal number, since it uses more digits than its factorization.

9345267342009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21988 (or 10991 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 9345267342009 in words is "nine trillion, three hundred forty-five billion, two hundred sixty-seven million, three hundred forty-two thousand, nine".

Divisors: 1 3 9 27 31 81 93 279 837 961 2511 2883 8649 10957 25947 32871 77841 98613 295839 339667 887517 1019001 3057003 9171009 10529677 27513027 31589031 94767093 120055849 284301279 360167547 852903837 1080502641 3241507923 3721731319 9724523769 11165193957 33495581871 100486745613 115373670889 301460236839 346121012667 1038363038001 3115089114003 9345267342009