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38200516785 = 3351931480419
BaseRepresentation
bin100011100100111011…
…011010000010110001
310122121021000022121000
4203210323122002301
51111213313014120
625314333352213
72521434015024
oct434473320261
9118537008530
1038200516785
1115223217732
1274a1338669
1337aa3137b2
141bc55cb1bb
15ed8a31990
hex8e4eda0b1

38200516785 has 64 divisors (see below), whose sum is σ = 73792512000. Its totient is φ = 18678651840.

The previous prime is 38200516769. The next prime is 38200516787. The reversal of 38200516785 is 58761500283.

38200516785 is a `hidden beast` number, since 38 + 20 + 0 + 516 + 7 + 85 = 666.

It is not a de Polignac number, because 38200516785 - 24 = 38200516769 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38200516785.

It is not an unprimeable number, because it can be changed into a prime (38200516787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160695 + ... + 319724.

It is an arithmetic number, because the mean of its divisors is an integer number (1153008000).

Almost surely, 238200516785 is an apocalyptic number.

It is an amenable number.

38200516785 is a deficient number, since it is larger than the sum of its proper divisors (35591995215).

38200516785 is a wasteful number, since it uses less digits than its factorization.

38200516785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480483 (or 480477 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 38200516785 in words is "thirty-eight billion, two hundred million, five hundred sixteen thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 15 19 27 31 45 57 93 95 135 155 171 279 285 465 513 589 837 855 1395 1767 2565 2945 4185 5301 8835 15903 26505 79515 480419 1441257 2402095 4323771 7206285 9127961 12971313 14892989 21618855 27383883 44678967 45639805 64856565 74464945 82151649 134036901 136919415 223394835 246454947 282966791 402110703 410758245 670184505 848900373 1232274735 1414833955 2010553515 2546701119 4244501865 7640103357 12733505595 38200516785