Search a number
-
+
9664600935125 = 53109225512
BaseRepresentation
bin1000110010100011011100…
…0110110000101011010101
31021012221000122201102001102
42030220313012300223111
52231321100314411000
632315504551035445
72015146551340103
oct214506706605325
937187018642042
109664600935125
1130968092aa404
12110109336bb85
135514a25311a6
14255aaa8c0c73
1511b5e9b773d5
hex8ca371b0ad5

9664600935125 has 36 divisors (see below), whose sum is σ = 12177866161188. Its totient is φ = 7657744860000.

The previous prime is 9664600935079. The next prime is 9664600935179. The reversal of 9664600935125 is 5215390064669.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1486882706884 + 8177718228241 = 1219378^2 + 2859671^2 .

It is a de Polignac number, because none of the positive numbers 2k-9664600935125 is a prime.

It is a super-2 number, since 2×96646009351252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3788552600 + ... + 3788555150.

It is an arithmetic number, because the mean of its divisors is an integer number (338274060033).

Almost surely, 29664600935125 is an apocalyptic number.

It is an amenable number.

9664600935125 is a deficient number, since it is larger than the sum of its proper divisors (2513265226063).

9664600935125 is an frugal number, since it uses more digits than its factorization.

9664600935125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 56.

The spelling of 9664600935125 in words is "nine trillion, six hundred sixty-four billion, six hundred million, nine hundred thirty-five thousand, one hundred twenty-five".

Divisors: 1 5 25 109 125 545 2551 2725 11881 12755 13625 59405 63775 278059 297025 318875 1390295 1485125 6507601 6951475 30308431 32538005 34757375 151542155 162690025 709328509 757710775 813450125 3546642545 3788553875 17733212725 77316807481 88666063625 386584037405 1932920187025 9664600935125