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38365408025505 = 32511101767384899
BaseRepresentation
bin10001011100100101001001…
…00001000101101110100001
312000211200211020202011011200
420232102210201011232201
520012034323423304010
6213332454121231413
711036544401362041
oct1056224441055641
9160750736664150
1038365408025505
1111251750712210
124377581632569
131853ac4b3c282
14968c77975721
15467e8b803cc0
hex22e4a4845ba1

38365408025505 has 48 divisors (see below), whose sum is σ = 73263771172800. Its totient is φ = 18417237552000.

The previous prime is 38365408025491. The next prime is 38365408025509. The reversal of 38365408025505 is 50552080456383.

It is a happy number.

38365408025505 is a `hidden beast` number, since 3 + 8 + 3 + 6 + 5 + 4 + 0 + 80 + 2 + 550 + 5 = 666.

It is not a de Polignac number, because 38365408025505 - 24 = 38365408025489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38365408025509) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 383642455 + ... + 383742444.

It is an arithmetic number, because the mean of its divisors is an integer number (1526328566100).

Almost surely, 238365408025505 is an apocalyptic number.

It is an amenable number.

38365408025505 is a deficient number, since it is larger than the sum of its proper divisors (34898363147295).

38365408025505 is a wasteful number, since it uses less digits than its factorization.

38365408025505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767385022 (or 767385019 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 38365408025505 in words is "thirty-eight trillion, three hundred sixty-five billion, four hundred eight million, twenty-five thousand, five hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 101 165 303 495 505 909 1111 1515 3333 4545 5555 9999 16665 49995 767384899 2302154697 3836924495 6906464091 8441233889 11510773485 25323701667 34532320455 42206169445 75971105001 77505874799 126618508335 232517624397 379855525005 387529373995 697552873191 852564622789 1162588121985 2557693868367 3487764365955 4262823113945 7673081605101 12788469341835 38365408025505