Search a number
-
+
38726766248671 = 479715111305999
BaseRepresentation
bin10001100111000110001110…
…01001010100001011011111
312002010020112220222212120201
420303203013021110023133
520033444404124424141
6214210455242124331
711104626240526414
oct1063430711241337
9162106486885521
1038726766248671
1111380a24a40756
12441560b7b06a7
13187bbc290a2b7
1497c557ac610b
1547258aaa7031
hex2338c72542df

38726766248671 has 8 divisors (see below), whose sum is σ = 38813045760000. Its totient is φ = 38640509364600.

The previous prime is 38726766248641. The next prime is 38726766248693. The reversal of 38726766248671 is 17684266762783.

38726766248671 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 38726766248671 - 237 = 38589327295199 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38726766248594 and 38726766248603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38726766248641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2227671 + ... + 9078328.

It is an arithmetic number, because the mean of its divisors is an integer number (4851630720000).

Almost surely, 238726766248671 is an apocalyptic number.

38726766248671 is a deficient number, since it is larger than the sum of its proper divisors (86279511329).

38726766248671 is a wasteful number, since it uses less digits than its factorization.

38726766248671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11313629.

The product of its digits is 1365590016, while the sum is 73.

The spelling of 38726766248671 in words is "thirty-eight trillion, seven hundred twenty-six billion, seven hundred sixty-six million, two hundred forty-eight thousand, six hundred seventy-one".

Divisors: 1 479 7151 3425329 11305999 5415573521 80849198849 38726766248671