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38462232413385 = 32511233378325201
BaseRepresentation
bin10001011111011001011111…
…01100110100010011001001
312001011221202002220200112200
420233230233230310103021
520020131122444212020
6213445150004030413
711046542655163134
oct1057545754642311
9161157662820480
1038462232413385
1111289817541990
1243922a3992409
13185cc8576b891
1496d820d5921b
1546a756d5b590
hex22fb2fb344c9

38462232413385 has 48 divisors (see below), whose sum is σ = 75890697337728. Its totient is φ = 17837557056000.

The previous prime is 38462232413357. The next prime is 38462232413399. The reversal of 38462232413385 is 58331423226483.

38462232413385 is a `hidden beast` number, since 3 + 8 + 4 + 6 + 223 + 24 + 13 + 385 = 666.

It is not a de Polignac number, because 38462232413385 - 210 = 38462232412361 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1689151216 + ... + 1689173985.

It is an arithmetic number, because the mean of its divisors is an integer number (1581056194536).

Almost surely, 238462232413385 is an apocalyptic number.

It is an amenable number.

38462232413385 is a deficient number, since it is larger than the sum of its proper divisors (37428464924343).

38462232413385 is a wasteful number, since it uses less digits than its factorization.

38462232413385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378325246 (or 3378325243 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 38462232413385 in words is "thirty-eight trillion, four hundred sixty-two billion, two hundred thirty-two million, four hundred thirteen thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 15 23 33 45 55 69 99 115 165 207 253 345 495 759 1035 1265 2277 3795 11385 3378325201 10134975603 16891626005 30404926809 37161577211 50674878015 77701479623 111484731633 152024634045 185807886055 233104438869 334454194899 388507398115 557423658165 699313316607 854716275853 1165522194345 1672270974495 2564148827559 3496566583035 4273581379265 7692446482677 12820744137795 38462232413385