Search a number
-
+
380929705816 = 231121149941113
BaseRepresentation
bin1011000101100010010…
…11100000011101011000
31100102020122110001100211
411202301023200131120
522220121001041231
6450555141340504
736343536034462
oct5426113403530
91312218401324
10380929705816
111376079850a0
12619b0707734
1329bc975b1ba
141461956b132
159d975c5eb1
hex58b12e0758

380929705816 has 64 divisors (see below), whose sum is σ = 784455120000. Its totient is φ = 171979718400.

The previous prime is 380929705789. The next prime is 380929705817. The reversal of 380929705816 is 618507929083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380929705817) 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 15 ways as a sum of consecutive naturals, for example, 9244876 + ... + 9285988.

It is an arithmetic number, because the mean of its divisors is an integer number (12257111250).

Almost surely, 2380929705816 is an apocalyptic number.

It is an amenable number.

380929705816 is an abundant number, since it is smaller than the sum of its proper divisors (403525414184).

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

380929705816 is a wasteful number, since it uses less digits than its factorization.

380929705816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41840 (or 41836 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 380929705816 in words is "three hundred eighty billion, nine hundred twenty-nine million, seven hundred five thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 22 44 88 211 422 499 844 998 1688 1996 2321 3992 4642 5489 9284 10978 18568 21956 41113 43912 82226 105289 164452 210578 328904 421156 452243 842312 904486 1158179 1808972 2316358 3617944 4632716 8674843 9265432 17349686 20515387 34699372 41030774 69398744 82061548 95423273 164123096 190846546 225669257 381693092 451338514 763386184 902677028 1805354056 4328746657 8657493314 17314986628 34629973256 47616213227 95232426454 190464852908 380929705816