Search a number
-
+
38793407067553 is a prime number
BaseRepresentation
bin10001101001000010010110…
…01111110111010110100001
312002100121120020110020020211
420310201023033313112201
520041042344202130203
6214301240054134121
711112505535250205
oct1064411317672641
9162317506406224
1038793407067553
11113a7211a47286
124426509651341
1318852831212c8
1498187a518b05
1547418b324c6d
hex23484b3f75a1

38793407067553 has 2 divisors, whose sum is σ = 38793407067554. Its totient is φ = 38793407067552.

The previous prime is 38793407067533. The next prime is 38793407067647. The reversal of 38793407067553 is 35576070439783.

38793407067553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34906626361489 + 3886780706064 = 5908183^2 + 1971492^2 .

It is a cyclic number.

It is not a de Polignac number, because 38793407067553 - 233 = 38784817132961 is a prime.

It is not a weakly prime, because it can be changed into another prime (38793407067533) 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 as a sum of consecutive naturals, namely, 19396703533776 + 19396703533777.

It is an arithmetic number, because the mean of its divisors is an integer number (19396703533777).

Almost surely, 238793407067553 is an apocalyptic number.

It is an amenable number.

38793407067553 is a deficient number, since it is larger than the sum of its proper divisors (1).

38793407067553 is an equidigital number, since it uses as much as digits as its factorization.

38793407067553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 400075200, while the sum is 67.

The spelling of 38793407067553 in words is "thirty-eight trillion, seven hundred ninety-three billion, four hundred seven million, sixty-seven thousand, five hundred fifty-three".