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104980782768 = 2432975417229
BaseRepresentation
bin110000111000101010…
…1111001111010110000
3101000222021212022201120
41201301111321322300
53210000040022033
6120121050302240
710404343634031
oct1416125717260
9330867768646
10104980782768
1140581a079a4
1218419a27980
139b906a0294
14511c75ca88
152ae66471b3
hex1871579eb0

104980782768 has 40 divisors (see below), whose sum is σ = 280552095600. Its totient is φ = 33786918144.

The previous prime is 104980782763. The next prime is 104980782769. The reversal of 104980782768 is 867287089401.

It is a super-2 number, since 2×1049807827682 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104980782763) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 37707223 + ... + 37710006.

It is an arithmetic number, because the mean of its divisors is an integer number (7013802390).

Almost surely, 2104980782768 is an apocalyptic number.

It is an amenable number.

104980782768 is an abundant number, since it is smaller than the sum of its proper divisors (175571312832).

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

104980782768 is a wasteful number, since it uses less digits than its factorization.

104980782768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75417269 (or 75417263 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 60.

The spelling of 104980782768 in words is "one hundred four billion, nine hundred eighty million, seven hundred eighty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 75417229 150834458 226251687 301668916 452503374 603337832 905006748 1206675664 1810013496 2187099641 3620026992 4374199282 6561298923 8748398564 13122597846 17496797128 26245195692 34993594256 52490391384 104980782768