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238106927953 = 773376181901
BaseRepresentation
bin1101110111000001000…
…1110110001101010001
3211202121002012012100101
43131300101312031101
512400120333143303
6301215041452401
723126340331216
oct3356021661521
9752532165311
10238106927953
1191a87176194
123a191641101
13195b812535b
14b74b0a9b0d
1562d8b6ad1d
hex3770476351

238106927953 has 8 divisors (see below), whose sum is σ = 238481260776. Its totient is φ = 237732768000.

The previous prime is 238106927923. The next prime is 238106927959. The reversal of 238106927953 is 359729601832.

238106927953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36459229249 + 201647698704 = 190943^2 + 449052^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 238106927953 - 29 = 238106927441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 238106927894 and 238106927903.

It is not an unprimeable number, because it can be changed into a prime (238106927959) 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 7 ways as a sum of consecutive naturals, for example, 2866303 + ... + 2948203.

It is an arithmetic number, because the mean of its divisors is an integer number (29810157597).

Almost surely, 2238106927953 is an apocalyptic number.

It is an amenable number.

238106927953 is a deficient number, since it is larger than the sum of its proper divisors (374332823).

238106927953 is an equidigital number, since it uses as much as digits as its factorization.

238106927953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86435.

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 238106927953 in words is "two hundred thirty-eight billion, one hundred six million, nine hundred twenty-seven thousand, nine hundred fifty-three".

Divisors: 1 773 3761 81901 2907253 63309473 308029661 238106927953