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6136768931 = 41241162081
BaseRepresentation
bin1011011011100011…
…11010100110100011
3120211200102011101012
411231301322212203
5100032003101211
62452540131135
7305034450416
oct55561724643
916750364335
106136768931
11266a056367
121233236aab
1376a514527
14423051b7d
1525db51d8b
hex16dc7a9a3

6136768931 has 8 divisors (see below), whose sum is σ = 6289154928. Its totient is φ = 5984512000.

The previous prime is 6136768921. The next prime is 6136768993. The reversal of 6136768931 is 1398676316.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-6136768931 is a prime.

It is a super-3 number, since 3×61367689313 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6136768931.

It is not an unprimeable number, because it can be changed into a prime (6136768921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 67811 + ... + 129891.

It is an arithmetic number, because the mean of its divisors is an integer number (786144366).

Almost surely, 26136768931 is an apocalyptic number.

6136768931 is a deficient number, since it is larger than the sum of its proper divisors (152385997).

6136768931 is a wasteful number, since it uses less digits than its factorization.

6136768931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64533.

The product of its digits is 979776, while the sum is 50.

The square root of 6136768931 is about 78337.5320711599. The cubic root of 6136768931 is about 1830.8239723603.

The spelling of 6136768931 in words is "six billion, one hundred thirty-six million, seven hundred sixty-eight thousand, nine hundred thirty-one".

Divisors: 1 41 2411 62081 98851 2545321 149677291 6136768931