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38360256237381 = 31319253920389219
BaseRepresentation
bin10001011100011011100010…
…11100100100111101000101
312000211012112012202012110010
420232031301130210331011
520011443301044044011
6213330243004420433
711036302624036431
oct1056156134447505
9160735465665403
1038360256237381
111124a547661581
124376584247719
131853483706930
149689096819c1
15467c893b81a6
hex22e371724f45

38360256237381 has 32 divisors (see below), whose sum is σ = 58003253056000. Its totient is φ = 22355064842688.

The previous prime is 38360256237377. The next prime is 38360256237389. The reversal of 38360256237381 is 18373265206383.

It is a happy number.

38360256237381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38360256237381 - 22 = 38360256237377 is a prime.

It is a super-3 number, since 3×383602562373813 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38360256237389) 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 31 ways as a sum of consecutive naturals, for example, 8313211 + ... + 12076008.

It is an arithmetic number, because the mean of its divisors is an integer number (1812601658000).

Almost surely, 238360256237381 is an apocalyptic number.

It is an amenable number.

38360256237381 is a deficient number, since it is larger than the sum of its proper divisors (19642996818619).

38360256237381 is a wasteful number, since it uses less digits than its factorization.

38360256237381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20391793.

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 38360256237381 in words is "thirty-eight trillion, three hundred sixty billion, two hundred fifty-six million, two hundred thirty-seven thousand, three hundred eighty-one".

Divisors: 1 3 13 19 39 57 247 741 2539 7617 33007 48241 99021 144723 627133 1881399 20389219 61167657 265059847 387395161 795179541 1162185483 5036137093 15108411279 51768227041 155304681123 672986951533 983596313779 2018960854599 2950788941337 12786752079127 38360256237381