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9909425509776 = 243213217211872
BaseRepresentation
bin1001000000110011011111…
…0010011001010110010000
31022002022221220100102021100
42100030313302121112100
52244324000412303101
633024154403224400
72041634542026162
oct220146762312620
938068856312240
109909425509776
1131806223a8a21
12114061a678100
1356b5bb2cc900
14263893c08932
15122b78436e86
hex90337c99590

9909425509776 has 405 divisors, whose sum is σ = 31927284258051. Its totient is φ = 2867280279552.

The previous prime is 9909425509769. The next prime is 9909425509783. The reversal of 9909425509776 is 6779055249099.

The square root of 9909425509776 is 3147924.

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

9909425509776 is a `hidden beast` number, since 9 + 9 + 0 + 9 + 42 + 5 + 509 + 7 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (9909425509769) and next prime (9909425509783).

It can be written as a sum of positive squares in 4 ways, for example, as 89475167376 + 9819950342400 = 299124^2 + 3133680^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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, 8348293855 + ... + 8348295041.

Almost surely, 29909425509776 is an apocalyptic number.

9909425509776 is the 3147924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9909425509776

9909425509776 is an abundant number, since it is smaller than the sum of its proper divisors (22017858748275).

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

9909425509776 is a wasteful number, since it uses less digits than its factorization.

9909425509776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 385786800, while the sum is 72.

The spelling of 9909425509776 in words is "nine trillion, nine hundred nine billion, four hundred twenty-five million, five hundred nine thousand, seven hundred seventy-six".