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238285069056 = 283617195967
BaseRepresentation
bin1101110111101011100…
…1011001101100000000
3211210001111101201000000
43131322321121230000
512401001434202211
6301244444000000
723133632445066
oct3357271315400
9753044351000
10238285069056
1192068789241
123a221230000
1319615cc80a8
14b7669dc036
1562e9608656
hex377ae59b00

238285069056 has 1008 divisors, whose sum is σ = 820358582400. Its totient is φ = 68582080512.

The previous prime is 238285069031. The next prime is 238285069069. The reversal of 238285069056 is 650960582832.

238285069056 is a `hidden beast` number, since 2 + 3 + 82 + 8 + 506 + 9 + 0 + 56 = 666.

It is a super-2 number, since 2×2382850690562 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 238285068993 and 238285069011.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3556493535 + ... + 3556493601.

It is an arithmetic number, because the mean of its divisors is an integer number (813847800).

Almost surely, 2238285069056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238285069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410179291200).

238285069056 is an abundant number, since it is smaller than the sum of its proper divisors (582073513344).

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

238285069056 is an equidigital number, since it uses as much as digits as its factorization.

238285069056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 238285069056 in words is "two hundred thirty-eight billion, two hundred eighty-five million, sixty-nine thousand, fifty-six".