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38404235675565 = 345315096009587
BaseRepresentation
bin10001011101101101011101…
…10100110100011110101101
312000222102001012211010220000
420232312232310310132231
520013203333313104230
6213402355020414513
711042420522065014
oct1056665664643655
9160872035733800
1038404235675565
111126716592a401
124382bb89a7439
13185767205b836
1496aabc56da7b
15468eb0412b60
hex22edaed347ad

38404235675565 has 80 divisors (see below), whose sum is σ = 71203521692160. Its totient is φ = 19782595578240.

The previous prime is 38404235675551. The next prime is 38404235675567. The reversal of 38404235675565 is 56557653240483.

38404235675565 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 4 + 2 + 3 + 5 + 67 + 5 + 565 = 666.

38404235675565 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38404235675565 - 26 = 38404235675501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38404235675567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3385702 + ... + 9395288.

It is an arithmetic number, because the mean of its divisors is an integer number (890044021152).

Almost surely, 238404235675565 is an apocalyptic number.

It is an amenable number.

38404235675565 is a deficient number, since it is larger than the sum of its proper divisors (32799286016595).

38404235675565 is a wasteful number, since it uses less digits than its factorization.

38404235675565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010144 (or 6010135 counting only the distinct ones).

The product of its (nonzero) digits is 362880000, while the sum is 63.

The spelling of 38404235675565 in words is "thirty-eight trillion, four hundred four billion, two hundred thirty-five million, six hundred seventy-five thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 27 31 45 81 93 135 155 279 405 465 509 837 1395 1527 2511 2545 4185 4581 7635 12555 13743 15779 22905 41229 47337 68715 78895 142011 206145 236685 426033 710055 1278099 2130165 6009587 6390495 18028761 30047935 54086283 90143805 162258849 186297197 270431415 486776547 558891591 811294245 931485985 1676674773 2433882735 2794457955 3058879783 5030024319 8383373865 9176639349 15090072957 15294398915 25150121595 27529918047 45883196745 75450364785 82589754141 94825273273 137649590235 247769262423 284475819819 412948770705 474126366365 853427459457 1238846312115 1422379099095 2560282378371 4267137297285 7680847135113 12801411891855 38404235675565