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331682338116 = 223219298922111
BaseRepresentation
bin1001101001110011100…
…11101101010101000100
31011201010111211120011100
410310321303231111010
520413241134304431
6412212303340100
732651253233133
oct4647163552504
91151114746140
10331682338116
1111873603a908
12543478b1630
132537b8c813c
14120a6b9591a
158963d4d4e6
hex4d39ced544

331682338116 has 216 divisors, whose sum is σ = 923790067200. Its totient is φ = 99946344960.

The previous prime is 331682338093. The next prime is 331682338123. The reversal of 331682338116 is 611833286133.

331682338116 is a `hidden beast` number, since 331 + 6 + 8 + 233 + 81 + 1 + 6 = 666.

It is a super-2 number, since 2×3316823381162 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157119901 + ... + 157122011.

Almost surely, 2331682338116 is an apocalyptic number.

331682338116 is a gapful number since it is divisible by the number (36) 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 331682338116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461895033600).

331682338116 is an abundant number, since it is smaller than the sum of its proper divisors (592107729084).

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

331682338116 is a wasteful number, since it uses less digits than its factorization.

331682338116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2253 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 331682338116 in words is "three hundred thirty-one billion, six hundred eighty-two million, three hundred thirty-eight thousand, one hundred sixteen".