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378136771128 = 233225720435407
BaseRepresentation
bin1011000000010101011…
…01010011101000111000
31100011001000001021020100
411200022231103220320
522143411003134003
6445414051155400
736214403343654
oct5401255235070
91304030037210
10378136771128
11136404392a06
12613512a5b60
1329872c35b1c
1414432665a64
159c822d4ba3
hex580ab53a38

378136771128 has 48 divisors (see below), whose sum is σ = 1028105376480. Its totient is φ = 125555134464.

The previous prime is 378136771123. The next prime is 378136771139. The reversal of 378136771128 is 821177631873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378136771123) 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 11 ways as a sum of consecutive naturals, for example, 10199200 + ... + 10236207.

It is an arithmetic number, because the mean of its divisors is an integer number (21418862010).

Almost surely, 2378136771128 is an apocalyptic number.

It is an amenable number.

378136771128 is an abundant number, since it is smaller than the sum of its proper divisors (649968605352).

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

378136771128 is a wasteful number, since it uses less digits than its factorization.

378136771128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20435676 (or 20435669 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The spelling of 378136771128 in words is "three hundred seventy-eight billion, one hundred thirty-six million, seven hundred seventy-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 257 514 771 1028 1542 2056 2313 3084 4626 6168 9252 18504 20435407 40870814 61306221 81741628 122612442 163483256 183918663 245224884 367837326 490449768 735674652 1471349304 5251899599 10503799198 15755698797 21007598396 31511397594 42015196792 47267096391 63022795188 94534192782 126045590376 189068385564 378136771128