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238797948928 = 21171122947101
BaseRepresentation
bin1101111001100101110…
…1111000100000000000
3211211101020110200220211
43132121131320200000
512403024233331203
6301411404443504
723152431034510
oct3363135704000
9754336420824
10238797948928
1192301242500
123a344b49594
131969833c7c6
14b7b4b87840
156329667c6d
hex3799778800

238797948928 has 576 divisors, whose sum is σ = 639967910400. Its totient is φ = 87048192000.

The previous prime is 238797948923. The next prime is 238797948931. The reversal of 238797948928 is 829849797832.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238797948923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2364336078 + ... + 2364336178.

It is an arithmetic number, because the mean of its divisors is an integer number (1111055400).

Almost surely, 2238797948928 is an apocalyptic number.

238797948928 is a gapful number since it is divisible by the number (28) 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 238797948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319983955200).

238797948928 is an abundant number, since it is smaller than the sum of its proper divisors (401169961472).

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

238797948928 is a wasteful number, since it uses less digits than its factorization.

238797948928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 197 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 76.

The spelling of 238797948928 in words is "two hundred thirty-eight billion, seven hundred ninety-seven million, nine hundred forty-eight thousand, nine hundred twenty-eight".