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38329001437 is a prime number
BaseRepresentation
bin100011101100100101…
…100010010111011101
310122221012210000101211
4203230211202113131
51111444211021222
625335203304421
72524554064606
oct435445422735
9118835700354
1038329001437
11152897a40a1
12751837b111
1337cab1b60c
141bd86b4dad
15ee4e61277
hex8ec9625dd

38329001437 has 2 divisors, whose sum is σ = 38329001438. Its totient is φ = 38329001436.

The previous prime is 38329001411. The next prime is 38329001453. The reversal of 38329001437 is 73410092383.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22434347961 + 15894653476 = 149781^2 + 126074^2 .

It is a cyclic number.

It is not a de Polignac number, because 38329001437 - 27 = 38329001309 is a prime.

It is a super-2 number, since 2×383290014372 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38329001437.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38329031437) 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 as a sum of consecutive naturals, namely, 19164500718 + 19164500719.

It is an arithmetic number, because the mean of its divisors is an integer number (19164500719).

Almost surely, 238329001437 is an apocalyptic number.

It is an amenable number.

38329001437 is a deficient number, since it is larger than the sum of its proper divisors (1).

38329001437 is an equidigital number, since it uses as much as digits as its factorization.

38329001437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 38329001437 in words is "thirty-eight billion, three hundred twenty-nine million, one thousand, four hundred thirty-seven".