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238431506112 = 26325934720219
BaseRepresentation
bin1101111000001110100…
…0000000111011000000
3211210102200221110212200
43132003220000323000
512401301431143422
6301311154353200
723140361235222
oct3360350007300
9753380843780
10238431506112
11921334075a8
123a26228b800
131963a44a337
14b77c23a412
1563073d22ac
hex3783a00ec0

238431506112 has 168 divisors, whose sum is σ = 697041633600. Its totient is φ = 77901086208.

The previous prime is 238431506101. The next prime is 238431506213. The reversal of 238431506112 is 211605134832.

238431506112 is a `hidden beast` number, since 2 + 3 + 8 + 4 + 31 + 5 + 0 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11782339 + ... + 11802557.

Almost surely, 2238431506112 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 238431506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348520816800).

238431506112 is an abundant number, since it is smaller than the sum of its proper divisors (458610127488).

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

238431506112 is a wasteful number, since it uses less digits than its factorization.

238431506112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20643 (or 20630 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 238431506112 in words is "two hundred thirty-eight billion, four hundred thirty-one million, five hundred six thousand, one hundred twelve".