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386134286040 = 2332519331170551
BaseRepresentation
bin1011001111001110110…
…01011001111011011000
31100220200100210010020100
411213213121121323120
522311300334123130
6453215421455400
736616524163656
oct5474731317330
91326610703210
10386134286040
11139838813268
1262a03711560
132a548ab8a79
1414990883dd6
15a09e48dc60
hex59e7659ed8

386134286040 has 192 divisors, whose sum is σ = 1324984377600. Its totient is φ = 97254432000.

The previous prime is 386134286039. The next prime is 386134286047. The reversal of 386134286040 is 40682431683.

386134286040 is a `hidden beast` number, since 3 + 8 + 6 + 1 + 34 + 2 + 8 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386134286047) 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 47 ways as a sum of consecutive naturals, for example, 2178765 + ... + 2349315.

It is an arithmetic number, because the mean of its divisors is an integer number (6900960300).

Almost surely, 2386134286040 is an apocalyptic number.

386134286040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386134286040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662492188800).

386134286040 is an abundant number, since it is smaller than the sum of its proper divisors (938850091560).

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

386134286040 is a wasteful number, since it uses less digits than its factorization.

386134286040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170918 (or 170911 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 386134286040 in words is "three hundred eighty-six billion, one hundred thirty-four million, two hundred eighty-six thousand, forty".