Search a number
-
+
1981925098559 = 721743318313001
BaseRepresentation
bin11100110101110011111…
…100010000010000111111
321000110200202201201110222
4130311303330100100333
5224432440311123214
64114252301051555
7263121644243300
oct34656374202077
97013622651428
101981925098559
116a459105a90a
1228013a856bbb
13114b8296a313
146bcd61267a7
153684b27b38e
hex1cd73f1043f

1981925098559 has 48 divisors (see below), whose sum is σ = 2448912384576. Its totient is φ = 1593768960000.

The previous prime is 1981925098541. The next prime is 1981925098561. The reversal of 1981925098559 is 9558905291891.

It is not a de Polignac number, because 1981925098559 - 236 = 1913205621823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1981925098492 and 1981925098501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981925098579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660420059 + ... + 660423059.

It is an arithmetic number, because the mean of its divisors is an integer number (51019008012).

Almost surely, 21981925098559 is an apocalyptic number.

1981925098559 is a deficient number, since it is larger than the sum of its proper divisors (466987286017).

1981925098559 is a wasteful number, since it uses less digits than its factorization.

1981925098559 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5296 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 71.

The spelling of 1981925098559 in words is "one trillion, nine hundred eighty-one billion, nine hundred twenty-five million, ninety-eight thousand, five hundred fifty-nine".

Divisors: 1 7 17 49 119 433 833 1831 3001 3031 7361 12817 21007 21217 31127 51017 51527 89719 147049 217889 357119 360689 792823 1299433 1525223 2499833 5494831 5549761 9096031 13477991 22090361 38463817 38848327 63672217 93412127 94345937 154632527 269246719 653884889 660421559 1082427689 2379261823 4577194223 16654832761 40447450991 116583829327 283132156937 1981925098559