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238648689548280 = 233451123417100839
BaseRepresentation
bin110110010000110010111010…
…010111011101101111111000
31011021222120222111112121020000
4312100302322113131233320
5222240010004011021110
62203321410001033000
7101160541000143144
oct6620627227355770
91137876874477200
10238648689548280
116a04a382767430
122292386b325760
13a32162336517b
1442d0930182224
151c8cc004391c0
hexd90cba5ddbf8

238648689548280 has 640 divisors, whose sum is σ = 935361273369600. Its totient is φ = 53989091481600.

The previous prime is 238648689548261. The next prime is 238648689548329. The reversal of 238648689548280 is 82845986846832.

238648689548280 is a `hidden beast` number, since 2 + 3 + 8 + 6 + 4 + 8 + 68 + 9 + 548 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×2386486895482802 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 238648689548280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30058101 + ... + 37158939.

It is an arithmetic number, because the mean of its divisors is an integer number (1461501989640).

Almost surely, 2238648689548280 is an apocalyptic number.

238648689548280 is a gapful number since it is divisible by the number (20) 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 238648689548280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467680636684800).

238648689548280 is an abundant number, since it is smaller than the sum of its proper divisors (696712583821320).

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

238648689548280 is a wasteful number, since it uses less digits than its factorization.

238648689548280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7100937 (or 7100924 counting only the distinct ones).

The product of its (nonzero) digits is 10192158720, while the sum is 81.

The spelling of 238648689548280 in words is "two hundred thirty-eight trillion, six hundred forty-eight billion, six hundred eighty-nine million, five hundred forty-eight thousand, two hundred eighty".