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381766305645 = 32519653683783
BaseRepresentation
bin1011000111000110000…
…10111000011101101101
31100111101221122201120200
411203203002320131231
522223324133240040
6451214144504113
736403345025154
oct5434302703555
91314357581520
10381766305645
111379a7143a0a
1261ba491b039
132a000b8709a
141469870259b
159de5c7c630
hex58e30b876d

381766305645 has 48 divisors (see below), whose sum is σ = 697623788160. Its totient is φ = 192596773248.

The previous prime is 381766305637. The next prime is 381766305659. The reversal of 381766305645 is 546503667183.

381766305645 is a `hidden beast` number, since 3 + 8 + 1 + 76 + 6 + 3 + 0 + 564 + 5 = 666.

381766305645 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 381766305645 - 23 = 381766305637 is a prime.

It is a super-3 number, since 3×3817663056453 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 381766305591 and 381766305600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216424 + ... + 900206.

It is an arithmetic number, because the mean of its divisors is an integer number (14533828920).

Almost surely, 2381766305645 is an apocalyptic number.

It is an amenable number.

381766305645 is a deficient number, since it is larger than the sum of its proper divisors (315857482515).

381766305645 is a wasteful number, since it uses less digits than its factorization.

381766305645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684466 (or 684463 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 381766305645 in words is "three hundred eighty-one billion, seven hundred sixty-six million, three hundred five thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 653 855 1959 3265 5877 9795 12407 29385 37221 62035 111663 186105 558315 683783 2051349 3418915 6154047 10256745 12991877 30770235 38975631 64959385 116926893 194878155 446510299 584634465 1339530897 2232551495 4018592691 6697654485 8483695681 20092963455 25451087043 42418478405 76353261129 127255435215 381766305645