Search a number
-
+
38159076472065 = 335354179824859
BaseRepresentation
bin10001010110100100110100…
…01100101011010100000001
312000002222020122112020012000
420223102122030223110001
520000144242034101230
6213054012052054213
711015621326201413
oct1053223214532401
9160088218466160
1038159076472065
111118219a95521a
124343599604369
13183a501b59493
1495cca2a1a9b3
154629125a3b60
hex22b49a32b501

38159076472065 has 32 divisors (see below), whose sum is σ = 67857516988800. Its totient is φ = 20345759807040.

The previous prime is 38159076472021. The next prime is 38159076472067. The reversal of 38159076472065 is 56027467095183.

38159076472065 is a `hidden beast` number, since 3 + 8 + 1 + 5 + 90 + 76 + 472 + 0 + 6 + 5 = 666.

It is not a de Polignac number, because 38159076472065 - 224 = 38159059694849 is a prime.

It is a super-2 number, since 2×381590764720652 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38159076471993 and 38159076472011.

It is not an unprimeable number, because it can be changed into a prime (38159076472067) 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 31 ways as a sum of consecutive naturals, for example, 39434395 + ... + 40390464.

It is an arithmetic number, because the mean of its divisors is an integer number (2120547405900).

It is a 2-persistent number, because it is pandigital, and so is 2⋅38159076472065 = 76318152944130, but 3⋅38159076472065 = 114477229416195 is not.

Almost surely, 238159076472065 is an apocalyptic number.

It is an amenable number.

38159076472065 is a deficient number, since it is larger than the sum of its proper divisors (29698440516735).

38159076472065 is a wasteful number, since it uses less digits than its factorization.

38159076472065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79828414 (or 79828408 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 38159076472065 in words is "thirty-eight trillion, one hundred fifty-nine billion, seventy-six million, four hundred seventy-two thousand, sixty-five".

Divisors: 1 3 5 9 15 27 45 135 3541 10623 17705 31869 53115 95607 159345 478035 79824859 239474577 399124295 718423731 1197372885 2155271193 3592118655 10776355965 282659825719 847979477157 1413299128595 2543938431471 4239897385785 7631815294413 12719692157355 38159076472065