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38675801618503 = 731954919108061
BaseRepresentation
bin10001100101100111010010…
…11010101011100001000111
312001221101000010001102010121
420302303221122223201013
520032131020203243003
6214131230141202411
711101143263365000
oct1062635132534107
9161841003042117
1038675801618503
1111361351812795
124407767860407
1318771600655ba
14979cc12141a7
154710a66bacbd
hex232ce96ab847

38675801618503 has 32 divisors (see below), whose sum is σ = 47478120320000. Its totient is φ = 31405051611360.

The previous prime is 38675801618453. The next prime is 38675801618539. The reversal of 38675801618503 is 30581610857683.

It is a happy number.

38675801618503 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 38675801618503 - 213 = 38675801610311 is a prime.

It is a super-2 number, since 2×386758016185032 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38675801618303) 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, 357853093 + ... + 357961153.

It is an arithmetic number, because the mean of its divisors is an integer number (1483691260000).

Almost surely, 238675801618503 is an apocalyptic number.

38675801618503 is a deficient number, since it is larger than the sum of its proper divisors (8802318701497).

38675801618503 is a wasteful number, since it uses less digits than its factorization.

38675801618503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163020 (or 163006 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 61.

The spelling of 38675801618503 in words is "thirty-eight trillion, six hundred seventy-five billion, eight hundred one million, six hundred eighteen thousand, five hundred three".

Divisors: 1 7 19 49 133 343 931 6517 54919 108061 384433 756427 1043461 2053159 2691031 5294989 7304227 14372113 18837217 37064923 51129589 100604791 357907123 704233537 5934602059 41542214413 112757439121 290795500891 789302073847 2035568506237 5525114516929 38675801618503