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238676112675 = 375273111389
BaseRepresentation
bin1101111001001000110…
…1000111010100100011
3211211001202012210000000
43132102031013110203
512402302041101200
6301351333231043
723146421325000
oct3362215072443
9754052183000
10238676112675
1192249497090
123a310192483
1319679021b50
14b7a29108a7
15631daed300
hex3792347523

238676112675 has 768 divisors, whose sum is σ = 614960640000. Its totient is φ = 90531302400.

The previous prime is 238676112629. The next prime is 238676112677. The reversal of 238676112675 is 576211676832.

238676112675 is a `hidden beast` number, since 2 + 386 + 76 + 1 + 126 + 75 = 666.

238676112675 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 238676112675 - 26 = 238676112611 is a prime.

It is a super-3 number, since 3×2386761126753 (a number of 35 digits) contains 333 as substring.

Its product of digits (5080320) is a multiple of the sum of its prime divisors (128).

It is not an unprimeable number, because it can be changed into a prime (238676112677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2681754031 + ... + 2681754119.

It is an arithmetic number, because the mean of its divisors is an integer number (800730000).

Almost surely, 2238676112675 is an apocalyptic number.

238676112675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

238676112675 is an abundant number, since it is smaller than the sum of its proper divisors (376284527325).

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

238676112675 is an equidigital number, since it uses as much as digits as its factorization.

238676112675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 128 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 238676112675 in words is "two hundred thirty-eight billion, six hundred seventy-six million, one hundred twelve thousand, six hundred seventy-five".