Search a number
-
+
38472537629 is a prime number
BaseRepresentation
bin100011110101001001…
…000101011000011101
310200022012212102001002
4203311021011120131
51112242432201004
625401332000045
72531246113511
oct436511053035
9120265772032
1038472537629
1115352820a49
127558460025
133821796386
141c0d79a141
15100286561e
hex8f524561d

38472537629 has 2 divisors, whose sum is σ = 38472537630. Its totient is φ = 38472537628.

The previous prime is 38472537553. The next prime is 38472537643. The reversal of 38472537629 is 92673527483.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24760596025 + 13711941604 = 157355^2 + 117098^2 .

It is a cyclic number.

It is not a de Polignac number, because 38472537629 - 220 = 38471489053 is a prime.

It is a super-3 number, since 3×384725376293 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38472537029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19236268814 + 19236268815.

It is an arithmetic number, because the mean of its divisors is an integer number (19236268815).

Almost surely, 238472537629 is an apocalyptic number.

It is an amenable number.

38472537629 is a deficient number, since it is larger than the sum of its proper divisors (1).

38472537629 is an equidigital number, since it uses as much as digits as its factorization.

38472537629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15240960, while the sum is 56.

The spelling of 38472537629 in words is "thirty-eight billion, four hundred seventy-two million, five hundred thirty-seven thousand, six hundred twenty-nine".