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38505218535 = 3357172396839
BaseRepresentation
bin100011110111000101…
…110000000111100111
310200101111100202211000
4203313011300013213
51112324313443120
625404500244343
72532123646230
oct436705600747
9120344322730
1038505218535
111536a212663
1275673a06b3
1338284996a4
141c13c66087
15100566d990
hex8f71701e7

38505218535 has 64 divisors (see below), whose sum is σ = 82834790400. Its totient is φ = 16566944256.

The previous prime is 38505218509. The next prime is 38505218567. The reversal of 38505218535 is 53581250583.

38505218535 is a `hidden beast` number, since 3 + 8 + 50 + 52 + 18 + 535 = 666.

It is not a de Polignac number, because 38505218535 - 25 = 38505218503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 in 63 ways as a sum of consecutive naturals, for example, 1182355 + ... + 1214484.

It is an arithmetic number, because the mean of its divisors is an integer number (1294293600).

Almost surely, 238505218535 is an apocalyptic number.

38505218535 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38505218535 is an abundant number, since it is smaller than the sum of its proper divisors (44329571865).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38505218535 is a wasteful number, since it uses less digits than its factorization.

38505218535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396877 (or 2396871 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 38505218535 in words is "thirty-eight billion, five hundred five million, two hundred eighteen thousand, five hundred thirty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 85 105 119 135 153 189 255 315 357 459 595 765 945 1071 1785 2295 3213 5355 16065 2396839 7190517 11984195 16777873 21571551 35952585 40746263 50333619 64714653 83889365 107857755 122238789 151000857 203731315 251668095 285223841 323573265 366716367 453002571 611193945 755004285 855671523 1100149101 1426119205 1833581835 2265012855 2567014569 4278357615 5500745505 7701043707 12835072845 38505218535