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38362321450640 = 24511431013803421
BaseRepresentation
bin10001011100011111011001…
…00010101111011010010000
312000211101212010210220110002
420232033230202233122100
520012012013242410030
6213331223541225132
711036405042050355
oct1056175442573220
9160741763726402
1038362321450640
111125040739a8a0
124376a5ba021a8
131853722534b05
14968a63a7462c
15467d5a85d245
hex22e3ec8af690

38362321450640 has 80 divisors (see below), whose sum is σ = 99563606467776. Its totient is φ = 13625517964800.

The previous prime is 38362321450613. The next prime is 38362321450643. The reversal of 38362321450640 is 4605412326383.

38362321450640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (38362321450643) 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, 506863871 + ... + 506939550.

Almost surely, 238362321450640 is an apocalyptic number.

It is an amenable number.

38362321450640 is an abundant number, since it is smaller than the sum of its proper divisors (61201285017136).

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

38362321450640 is a wasteful number, since it uses less digits than its factorization.

38362321450640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013803488 (or 1013803482 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 47.

The spelling of 38362321450640 in words is "thirty-eight trillion, three hundred sixty-two billion, three hundred twenty-one million, four hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 344 430 440 473 688 860 880 946 1720 1892 2365 3440 3784 4730 7568 9460 18920 37840 1013803421 2027606842 4055213684 5069017105 8110427368 10138034210 11151837631 16220854736 20276068420 22303675262 40552136840 43593547103 44607350524 55759188155 81104273680 87187094206 89214701048 111518376310 174374188412 178429402096 217967735515 223036752620 348748376824 435935471030 446073505240 479529018133 697496753648 871870942060 892147010480 959058036266 1743741884120 1918116072532 2397645090665 3487483768240 3836232145064 4795290181330 7672464290128 9590580362660 19181160725320 38362321450640