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38781114256885 = 57211138731126781
BaseRepresentation
bin10001101000101011011101…
…00010100000110111110101
312002022102211112100202011211
420310111232202200313311
520040342210222210020
6214251444204401421
711111562110136100
oct1064255642406765
9162272745322154
1038781114256885
11113a1a83a81720
124424058846271
131884074408140
14981031a79737
15473bbc01585a
hex23456e8a0df5

38781114256885 has 96 divisors (see below), whose sum is σ = 63607263721344. Its totient is φ = 22312874304000.

The previous prime is 38781114256873. The next prime is 38781114256897. The reversal of 38781114256885 is 58865241118783.

38781114256885 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38781114256873) and next prime (38781114256897).

It is a de Polignac number, because none of the positive numbers 2k-38781114256885 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38781114256885.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 305827195 + ... + 305953975.

It is an arithmetic number, because the mean of its divisors is an integer number (662575663764).

Almost surely, 238781114256885 is an apocalyptic number.

38781114256885 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38781114256885 is a deficient number, since it is larger than the sum of its proper divisors (24826149464459).

38781114256885 is a wasteful number, since it uses less digits than its factorization.

38781114256885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135555 (or 135548 counting only the distinct ones).

The product of its digits is 103219200, while the sum is 67.

The spelling of 38781114256885 in words is "thirty-eight trillion, seven hundred eighty-one billion, one hundred fourteen million, two hundred fifty-six thousand, eight hundred eighty-five".

Divisors: 1 5 7 11 13 35 49 55 65 77 91 143 245 385 455 539 637 715 1001 2695 3185 5005 7007 8731 35035 43655 61117 96041 113503 126781 305585 427819 480205 567515 633905 672287 794521 887467 1248533 1394591 1648153 2139095 3361435 3972605 4437335 4706009 5561647 6212269 6242665 6972955 8240765 8739731 9762137 11537071 18129683 23530045 27808235 31061345 43698655 48810685 57685355 61178117 68334959 80759497 90648415 126907781 305890585 341674795 403797485 634538905 888354467 1106924911 4441772335 5534624555 7748474377 12176174021 14390023843 38742371885 54239320639 60880870105 71950119215 85233218147 100730166901 158290262273 271196603195 426166090735 503650834505 596632527029 705111168307 791451311365 1108031835911 2983162635145 3525555841535 5540159179555 7756222851377 38781114256885