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380563142405 = 59710131324821
BaseRepresentation
bin1011000100110110101…
…01001011011100000101
31100101022002200200220012
411202123111023130011
522213343131024110
6450454524520005
736331465223465
oct5423325133405
91311262620805
10380563142405
11137439a77626
12619099b0005
1329b6b825b84
14145c29cbba5
159d75319905
hex589b54b705

380563142405 has 32 divisors (see below), whose sum is σ = 467459421408. Its totient is φ = 297363456000.

The previous prime is 380563142359. The next prime is 380563142413. The reversal of 380563142405 is 504241365083.

It is a Cunningham number, because it is equal to 6168982+1.

It can be written as a sum of positive squares in 16 ways, for example, as 179286190084 + 201276952321 = 423422^2 + 448639^2 .

It is not a de Polignac number, because 380563142405 - 210 = 380563141381 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15319895 + ... + 15344715.

It is an arithmetic number, because the mean of its divisors is an integer number (14608106919).

Almost surely, 2380563142405 is an apocalyptic number.

It is an amenable number.

380563142405 is a deficient number, since it is larger than the sum of its proper divisors (86896279003).

380563142405 is a wasteful number, since it uses less digits than its factorization.

380563142405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25337.

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 380563142405 in words is "three hundred eighty billion, five hundred sixty-three million, one hundred forty-two thousand, four hundred five".

Divisors: 1 5 97 101 313 485 505 1565 9797 24821 30361 31613 48985 124105 151805 158065 2407637 2506921 3066461 7768973 12038185 12534605 15332305 38844865 243171337 753590381 784666273 1215856685 3767951905 3923331365 76112628481 380563142405