Search a number
-
+
9677062864345 = 515740130741817
BaseRepresentation
bin1000110011010001110111…
…1001001111110111011001
31021021010012011001000011111
42030310131321033313121
52232022111043124340
632325325321300321
72016100432106212
oct214643571176731
937233164030144
109677062864345
1130a1023785268
1211035909346a1
1355270a2ab3c6
1425652d9c4409
1511bac8c40aea
hex8cd1de4fdd9

9677062864345 has 16 divisors (see below), whose sum is σ = 11715583872528. Its totient is φ = 7673157273600.

The previous prime is 9677062864333. The next prime is 9677062864363. The reversal of 9677062864345 is 5434682607769.

It can be written as a sum of positive squares in 8 ways, for example, as 255963141184 + 9421099723161 = 505928^2 + 3069381^2 .

It is a de Polignac number, because none of the positive numbers 2k-9677062864345 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15056124 + ... + 15685693.

It is an arithmetic number, because the mean of its divisors is an integer number (732223992033).

Almost surely, 29677062864345 is an apocalyptic number.

It is an amenable number.

9677062864345 is a deficient number, since it is larger than the sum of its proper divisors (2038521008183).

9677062864345 is a wasteful number, since it uses less digits than its factorization.

9677062864345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30742380.

The product of its (nonzero) digits is 365783040, while the sum is 67.

The spelling of 9677062864345 in words is "nine trillion, six hundred seventy-seven billion, sixty-two million, eight hundred sixty-four thousand, three hundred forty-five".

Divisors: 1 5 157 401 785 2005 62957 314785 30741817 153709085 4826465269 12327468617 24132326345 61637343085 1935412572869 9677062864345