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378836144313 = 311431092449303
BaseRepresentation
bin1011000001101000110…
…01001101000010111001
31100012211202001002212220
411200310121031002321
522201324023104223
6450011313154253
736240625044564
oct5406431150271
91305752032786
10378836144313
11136733144380
126150755b989
1329954ab5b03
141449b4b94db
159cc38d16e3
hex583464d0b9

378836144313 has 32 divisors (see below), whose sum is σ = 569022305280. Its totient is φ = 222200677440.

The previous prime is 378836144263. The next prime is 378836144321. The reversal of 378836144313 is 313441638873.

It is not a de Polignac number, because 378836144313 - 221 = 378834047161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (378836144333) 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 31 ways as a sum of consecutive naturals, for example, 1069981 + ... + 1379322.

It is an arithmetic number, because the mean of its divisors is an integer number (17781947040).

Almost surely, 2378836144313 is an apocalyptic number.

378836144313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

378836144313 is a deficient number, since it is larger than the sum of its proper divisors (190186160967).

378836144313 is a wasteful number, since it uses less digits than its factorization.

378836144313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449469.

The product of its digits is 3483648, while the sum is 51.

The spelling of 378836144313 in words is "three hundred seventy-eight billion, eight hundred thirty-six million, one hundred forty-four thousand, three hundred thirteen".

Divisors: 1 3 11 33 43 109 129 327 473 1199 1419 3597 4687 14061 51557 154671 2449303 7347909 26942333 80826999 105320029 266974027 315960087 800922081 1158520319 2936714297 3475560957 8810142891 11479883161 34439649483 126278714771 378836144313