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38387777872014 = 2328860724068689
BaseRepresentation
bin10001011101001110110011…
…10111010010000010001110
312000220211120020120002200100
420232213121313102002032
520012421132113401024
6213351033544511530
711041265631054324
oct1056473167220216
9160824506502610
1038387777872014
111126018a928a6a
12437b98517b5a6
131855c4b4a5a3c
14969d9a8abd14
1546884a63b7c9
hex22e9d9dd208e

38387777872014 has 24 divisors (see below), whose sum is σ = 83174460857280. Its totient is φ = 12795781013568.

The previous prime is 38387777872007. The next prime is 38387777872051. The reversal of 38387777872014 is 41027877778383.

38387777872014 is a `hidden beast` number, since 38 + 387 + 7 + 7 + 7 + 8 + 7 + 201 + 4 = 666.

38387777872014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 10439419 + ... + 13629270.

It is an arithmetic number, because the mean of its divisors is an integer number (3465602535720).

Almost surely, 238387777872014 is an apocalyptic number.

38387777872014 is an abundant number, since it is smaller than the sum of its proper divisors (44786682985266).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38387777872014 is a wasteful number, since it uses less digits than its factorization.

38387777872014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24157304 (or 24157301 counting only the distinct ones).

The product of its (nonzero) digits is 619573248, while the sum is 72.

The spelling of 38387777872014 in words is "thirty-eight trillion, three hundred eighty-seven billion, seven hundred seventy-seven million, eight hundred seventy-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 88607 177214 265821 531642 797463 1594926 24068689 48137378 72206067 144412134 216618201 433236402 2132654326223 4265308652446 6397962978669 12795925957338 19193888936007 38387777872014