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9476004769344 = 263247227292
BaseRepresentation
bin1000100111100100110111…
…1001011110111001000000
31020112220020001202112012100
42021321031321132321000
52220223324210104334
632053114432430400
71665422142360141
oct211711571367100
936486201675170
109476004769344
113023829720693
12109061a9a8400
135397779c1219
1424a8d9191ac8
1511675c961c99
hex89e4de5ee40

9476004769344 has 189 divisors, whose sum is σ = 27761624348497. Its totient is φ = 3090329730048.

The previous prime is 9476004769307. The next prime is 9476004769351. The reversal of 9476004769344 is 4439674006749.

The square root of 9476004769344 is 3078312.

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

9476004769344 is a `hidden beast` number, since 9 + 4 + 76 + 0 + 0 + 476 + 93 + 4 + 4 = 666.

9476004769344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9131952135744 + 344052633600 = 3021912^2 + 586560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3472334572 + ... + 3472337300.

Almost surely, 29476004769344 is an apocalyptic number.

9476004769344 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

9476004769344 is the 3078312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9476004769344

9476004769344 is an abundant number, since it is smaller than the sum of its proper divisors (18285619579153).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9476004769344 is an frugal number, since it uses more digits than its factorization.

9476004769344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5570 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 9476004769344 in words is "nine trillion, four hundred seventy-six billion, four million, seven hundred sixty-nine thousand, three hundred forty-four".