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38426372553137 = 415346138359129
BaseRepresentation
bin10001011110010110101100…
…10010010011100110110001
312001001112011222021001002112
420233023112102103212301
520014034202333200022
6213420455402455105
711044133222330462
oct1057132622234661
9161045158231075
1038426372553137
1111275595595148
124387356504495
13185978c36686a
1496bbbc580d69
15469858a7c8e2
hex22f2d64939b1

38426372553137 has 16 divisors (see below), whose sum is σ = 40193310160080. Its totient is φ = 36702013670400.

The previous prime is 38426372553113. The next prime is 38426372553169. The reversal of 38426372553137 is 73135527362483.

38426372553137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 284335299361 + 38142037253776 = 533231^2 + 6175924^2 .

It is a cyclic number.

It is not a de Polignac number, because 38426372553137 - 28 = 38426372552881 is a prime.

It is a super-2 number, since 2×384263725531372 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38426372553337) 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 15 ways as a sum of consecutive naturals, for example, 18177812 + ... + 20181317.

It is an arithmetic number, because the mean of its divisors is an integer number (2512081885005).

Almost surely, 238426372553137 is an apocalyptic number.

It is an amenable number.

38426372553137 is a deficient number, since it is larger than the sum of its proper divisors (1766937606943).

38426372553137 is a wasteful number, since it uses less digits than its factorization.

38426372553137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38359684.

The product of its digits is 76204800, while the sum is 59.

The spelling of 38426372553137 in words is "thirty-eight trillion, four hundred twenty-six billion, three hundred seventy-two million, five hundred fifty-three thousand, one hundred thirty-seven".

Divisors: 1 41 53 461 2173 18901 24433 1001753 38359129 1572724289 2033033837 17683558469 83354387317 725025897229 937228598857 38426372553137