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38676131053879 = 1119593673853933
BaseRepresentation
bin10001100101100111111010…
…00011011000000100110111
312001221101212001221110111211
420302303331003120010313
520032132204022211004
6214131322550142251
711101154403501664
oct1062637503300467
9161841761843454
1038676131053879
1111361500771430
12440783a051987
1318771b339b387
14979d12c8aa6b
154710c5591504
hex232cfd0d8137

38676131053879 has 32 divisors (see below), whose sum is σ = 45177890630400. Its totient is φ = 32736063893760.

The previous prime is 38676131053873. The next prime is 38676131053883. The reversal of 38676131053879 is 97835013167683.

38676131053879 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 38676131053879 - 221 = 38676128956727 is a prime.

It is a super-2 number, since 2×386761310538792 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38676131053873) 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, 44864797 + ... + 45718729.

It is an arithmetic number, because the mean of its divisors is an integer number (1411809082200).

Almost surely, 238676131053879 is an apocalyptic number.

38676131053879 is a deficient number, since it is larger than the sum of its proper divisors (6501759576521).

38676131053879 is a wasteful number, since it uses less digits than its factorization.

38676131053879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857695.

The product of its (nonzero) digits is 137168640, while the sum is 67.

The spelling of 38676131053879 in words is "thirty-eight trillion, six hundred seventy-six billion, one hundred thirty-one million, fifty-three thousand, eight hundred seventy-nine".

Divisors: 1 11 19 59 209 649 1121 3673 12331 40403 69787 216707 767657 853933 2383777 4117433 9393263 16224727 45291763 50382047 178471997 554202517 957258893 3136495909 10529847823 34501454999 59593422271 185053258631 655527644981 2035585844941 3516011913989 38676131053879