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238543081987392 = 263472131941471973
BaseRepresentation
bin110110001111010000100011…
…101010100101110101000000
31011021121111101112021122120000
4312033100203222211311000
5222231242212442044032
62203201102400320000
7101150111642530500
oct6617204352456500
91137544345248500
10238543081987392
116a009609a81896
12229072b7613000
13a314692b81980
1442c97924a9a00
151c8a0bdc84e7c
hexd8f423aa5d40

238543081987392 has 3360 divisors, whose sum is σ = 976022106554880. Its totient is φ = 56881561927680.

The previous prime is 238543081987361. The next prime is 238543081987429. The reversal of 238543081987392 is 293789180345832.

238543081987392 is a `hidden beast` number, since 2 + 3 + 8 + 5 + 43 + 0 + 8 + 198 + 7 + 392 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 238543081987392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 120903740518 + ... + 120903742490.

It is an arithmetic number, because the mean of its divisors is an integer number (290482769808).

Almost surely, 2238543081987392 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 238543081987392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488011053277440).

238543081987392 is an abundant number, since it is smaller than the sum of its proper divisors (737479024567488).

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

238543081987392 is a wasteful number, since it uses less digits than its factorization.

238543081987392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 238543081987392 in words is "two hundred thirty-eight trillion, five hundred forty-three billion, eighty-one million, nine hundred eighty-seven thousand, three hundred ninety-two".