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38344074748002 = 232171193241743457
BaseRepresentation
bin10001011011111101011001…
…11101000110000001100010
312000202122202111102101000200
420231332230331012001202
520011212131113414002
6213315005203130030
711035160626455522
oct1055765475060142
9160678674371020
1038344074748002
11112436a3627061
124373409073916
131851aa517794a
14967c12589682
1546763d9c2b1c
hex22dfacf46062

38344074748002 has 96 divisors (see below), whose sum is σ = 88078005383472. Its totient is φ = 12014180892672.

The previous prime is 38344074747977. The next prime is 38344074748003. The reversal of 38344074748002 is 20084747044383.

38344074748002 is a `hidden beast` number, since 3 + 83 + 4 + 40 + 7 + 47 + 480 + 0 + 2 = 666.

38344074748002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 35527548329001 + 2816526419001 = 5960499^2 + 1678251^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38344074748002.

It is not an unprimeable number, because it can be changed into a prime (38344074748003) 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 47 ways as a sum of consecutive naturals, for example, 882323458 + ... + 882366914.

Almost surely, 238344074748002 is an apocalyptic number.

38344074748002 is an abundant number, since it is smaller than the sum of its proper divisors (49733930635470).

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

38344074748002 is a wasteful number, since it uses less digits than its factorization.

38344074748002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47092 (or 47089 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 38344074748002 in words is "thirty-eight trillion, three hundred forty-four billion, seventy-four million, seven hundred forty-eight thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 1193 2386 2417 3579 4834 7158 7251 10737 14502 20281 21474 21753 40562 41089 43457 43506 60843 82178 86914 121686 123267 130371 182529 246534 260742 365058 369801 391113 738769 739602 782226 1477538 2216307 2883481 4432614 5766962 6648921 8650443 13297842 17300886 25951329 49019177 51844201 51902658 98038354 103688402 105035569 147057531 155532603 210071138 294115062 311065206 315106707 441172593 466597809 630213414 881351417 882345186 933195618 945320121 1762702834 1785604673 1890640242 2644054251 3571209346 5288108502 5356814019 7932162753 10713628038 15864325506 16070442057 32140884114 125307433817 250614867634 375922301451 751844602902 1127766904353 2130226374889 2255533808706 4260452749778 6390679124667 12781358249334 19172037374001 38344074748002