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104448000680 = 23517331946279
BaseRepresentation
bin110000101000110010…
…1100000001010101000
3100222121011100012002122
41201101211200022220
53202402142010210
6115552135050412
710355214233342
oct1412145401250
9328534305078
10104448000680
114032919a921
12182ab510a08
139b071aaaca
1450abab2292
152ab49a5b55
hex18519602a8

104448000680 has 64 divisors (see below), whose sum is σ = 248912352000. Its totient is φ = 39308903424.

The previous prime is 104448000647. The next prime is 104448000691. The reversal of 104448000680 is 86000844401.

104448000680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 104448000680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2233781 + ... + 2280059.

It is an arithmetic number, because the mean of its divisors is an integer number (3889255500).

Almost surely, 2104448000680 is an apocalyptic number.

104448000680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104448000680 is an abundant number, since it is smaller than the sum of its proper divisors (144464351320).

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

104448000680 is a wasteful number, since it uses less digits than its factorization.

104448000680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49626 (or 49622 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The spelling of 104448000680 in words is "one hundred four billion, four hundred forty-eight million, six hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 3319 6638 13276 16595 26552 33190 46279 56423 66380 92558 112846 132760 185116 225692 231395 282115 370232 451384 462790 564230 786743 925580 1128460 1573486 1851160 2256920 3146972 3933715 6293944 7867430 15734860 31469720 153600001 307200002 614400004 768000005 1228800008 1536000010 2611200017 3072000020 5222400034 6144000040 10444800068 13056000085 20889600136 26112000170 52224000340 104448000680