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38016533561083 = 7113115926490809
BaseRepresentation
bin10001010010011011010011…
…11110100111111011111011
311222121100022120220002100121
420221031221332213323323
514440330330042423313
6212504315430514111
711002414066352440
oct1051155176477373
9158540276802317
1038016533561083
11111277a3119460
12431ba38205937
131829c364c253c
1495601d7ab9c7
1545dd6d4cc28d
hex229369fa7efb

38016533561083 has 16 divisors (see below), whose sum is σ = 48926179768320. Its totient is φ = 28667683454400.

The previous prime is 38016533561059. The next prime is 38016533561089.

38016533561083 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 38016533561083 - 237 = 37879094607611 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38016533561083.

It is not an unprimeable number, because it can be changed into a prime (38016533561089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7963243018 + ... + 7963247791.

It is an arithmetic number, because the mean of its divisors is an integer number (3057886235520).

Almost surely, 238016533561083 is an apocalyptic number.

38016533561083 is a deficient number, since it is larger than the sum of its proper divisors (10909646207237).

38016533561083 is a wasteful number, since it uses less digits than its factorization.

38016533561083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15926490858.

The product of its (nonzero) digits is 4665600, while the sum is 52.

The spelling of 38016533561083 in words is "thirty-eight trillion, sixteen billion, five hundred thirty-three million, five hundred sixty-one thousand, eighty-three".

Divisors: 1 7 11 31 77 217 341 2387 15926490809 111485435663 175191398899 493721215079 1226339792293 3456048505553 5430933365869 38016533561083