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231690109248 = 26321322982073
BaseRepresentation
bin1101011111000111001…
…1101000000101000000
3211011000212211000220100
43113301303220011000
512244000131443443
6254234215042400
722511332302033
oct3276163500500
9734025730810
10231690109248
118a294032334
1238aa0670400
1318b048a9900
14b2dcb9901a
15606064b3d3
hex35f1ce8140

231690109248 has 252 divisors, whose sum is σ = 743917915260. Its totient is φ = 68830175232.

The previous prime is 231690109243. The next prime is 231690109267. The reversal of 231690109248 is 842901096132.

231690109248 is a `hidden beast` number, since 2 + 316 + 90 + 1 + 0 + 9 + 248 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 106255137024 + 125434972224 = 325968^2 + 354168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231690109243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2781940 + ... + 2864012.

Almost surely, 2231690109248 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 231690109248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371958957630).

231690109248 is an abundant number, since it is smaller than the sum of its proper divisors (512227806012).

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

231690109248 is a wasteful number, since it uses less digits than its factorization.

231690109248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82146 (or 82120 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 231690109248 in words is "two hundred thirty-one billion, six hundred ninety million, one hundred nine thousand, two hundred forty-eight".