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38016775657 = 7171307244429
BaseRepresentation
bin100011011001111110…
…011111010111101001
310122010110021022011001
4203121332133113221
51110324243310112
625244211235001
72514043155430
oct433176372751
9118113238131
1038016775657
111513952a263
12744b8a8a61
13377b22cb33
141ba903c117
15ec7839c57
hex8d9f9f5e9

38016775657 has 16 divisors (see below), whose sum is σ = 46038879360. Its totient is φ = 30645404928.

The previous prime is 38016775639. The next prime is 38016775663. The reversal of 38016775657 is 75657761083.

It is a cyclic number.

It is not a de Polignac number, because 38016775657 - 235 = 3657037289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38016775598 and 38016775607.

It is not an unprimeable number, because it can be changed into a prime (38016775457) 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, 33319 + ... + 277747.

It is an arithmetic number, because the mean of its divisors is an integer number (2877429960).

Almost surely, 238016775657 is an apocalyptic number.

It is an amenable number.

38016775657 is a deficient number, since it is larger than the sum of its proper divisors (8022103703).

38016775657 is a wasteful number, since it uses less digits than its factorization.

38016775657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245760.

The product of its (nonzero) digits is 7408800, while the sum is 55.

The spelling of 38016775657 in words is "thirty-eight billion, sixteen million, seven hundred seventy-five thousand, six hundred fifty-seven".

Divisors: 1 7 17 119 1307 9149 22219 155533 244429 1711003 4155293 29087051 319468703 2236280921 5430967951 38016775657