Search a number
-
+
9309674982976 = 2657726612
BaseRepresentation
bin1000011101111001001111…
…0111101100111001000000
31012221222220020220220200021
42013132103313230321000
52210012203243423401
631444450004103224
71650413265460234
oct207362367547100
935858806826607
109309674982976
112a6a235909325
12106433b394b14
13526b8b25c0a4
1424283ab445c4
151122754472a1
hex87793dece40

9309674982976 has 63 divisors (see below), whose sum is σ = 18533998184787. Its totient is φ = 4639740272640.

The previous prime is 9309674982947. The next prime is 9309674982977. The reversal of 9309674982976 is 6792894769039.

The square root of 9309674982976 is 3051176.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6729873640000 + 2579801342976 = 2594200^2 + 1606176^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9309674982896 and 9309674982905.

It is not an unprimeable number, because it can be changed into a prime (9309674982977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14084228086 + ... + 14084228746.

Almost surely, 29309674982976 is an apocalyptic number.

9309674982976 is the 3051176-th square number.

It is an amenable number.

9309674982976 is a deficient number, since it is larger than the sum of its proper divisors (9224323201811).

9309674982976 is an frugal number, since it uses more digits than its factorization.

9309674982976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 2222131968, while the sum is 79.

The spelling of 9309674982976 in words is "nine trillion, three hundred nine billion, six hundred seventy-four million, nine hundred eighty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 577 661 1154 1322 2308 2644 4616 5288 9232 10576 18464 21152 36928 42304 332929 381397 436921 665858 762794 873842 1331716 1525588 1747684 2663432 3051176 3495368 5326864 6102352 6990736 10653728 12204704 13981472 21307456 24409408 27962944 220066069 252103417 440132138 504206834 880264276 1008413668 1760528552 2016827336 3521057104 4033654672 7042114208 8067309344 14084228416 16134618688 145463671609 290927343218 581854686436 1163709372872 2327418745744 4654837491488 9309674982976