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238628533248 = 21033717294161
BaseRepresentation
bin1101111000111101011…
…1100111010000000000
3211210221102200111022000
43132033113213100000
512402202401030443
6301342513344000
723145303031320
oct3361727472000
9753842614260
10238628533248
1192224649a46
123a2b8268000
131966c203441
14b79a487280
1563198508d3
hex378f5e7400

238628533248 has 1408 divisors, whose sum is σ = 921091046400. Its totient is φ = 59454259200.

The previous prime is 238628533223. The next prime is 238628533259. The reversal of 238628533248 is 842335826832.

238628533248 is a `hidden beast` number, since 2 + 3 + 8 + 62 + 8 + 533 + 2 + 48 = 666.

238628533248 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (13271040) is a multiple of the sum of its prime divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 238628533194 and 238628533203.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3911943138 + ... + 3911943198.

Almost surely, 2238628533248 is an apocalyptic number.

238628533248 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 238628533248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460545523200).

238628533248 is an abundant number, since it is smaller than the sum of its proper divisors (682462513152).

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

238628533248 is a wasteful number, since it uses less digits than its factorization.

238628533248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 160 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 238628533248 in words is "two hundred thirty-eight billion, six hundred twenty-eight million, five hundred thirty-three thousand, two hundred forty-eight".