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380929728312 = 233472311732237
BaseRepresentation
bin1011000101100010010…
…11100101111100111000
31100102020122111012020000
411202301023211330320
522220121002301222
6450555142033000
736343536160200
oct5426113457470
91312218435200
10380929728312
1113760799aa91
12619b0718760
1329bc9768503
1414619575400
159d975cc9ac
hex58b12e5f38

380929728312 has 480 divisors, whose sum is σ = 1289171790720. Its totient is φ = 104670558720.

The previous prime is 380929728293. The next prime is 380929728391. The reversal of 380929728312 is 213827929083.

380929728312 is a `hidden beast` number, since 38 + 0 + 9 + 297 + 2 + 8 + 312 = 666.

380929728312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 170284858 + ... + 170287094.

It is an arithmetic number, because the mean of its divisors is an integer number (2685774564).

Almost surely, 2380929728312 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 380929728312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644585895360).

380929728312 is an abundant number, since it is smaller than the sum of its proper divisors (908242062408).

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

380929728312 is a wasteful number, since it uses less digits than its factorization.

380929728312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 380929728312 in words is "three hundred eighty billion, nine hundred twenty-nine million, seven hundred twenty-eight thousand, three hundred twelve".