Search a number
-
+
1181928482820 = 2232529226423081
BaseRepresentation
bin10001001100110000011…
…011010110100000000100
311011222202121221220211100
4101030300123112200010
5123331042142422240
62302545341140100
7151251201225021
oct21146033264004
94158677856740
101181928482820
114162868a7828
1217109555a630
13875bc607187
14412c4402548
1520b28406e30
hex113306d6804

1181928482820 has 72 divisors (see below), whose sum is σ = 3708810083160. Its totient is φ = 304312619520.

The previous prime is 1181928482771. The next prime is 1181928482821. The reversal of 1181928482820 is 282848291811.

It is a happy number.

1181928482820 is a `hidden beast` number, since 1 + 1 + 81 + 9 + 2 + 8 + 482 + 82 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35864026884 + 1146064455936 = 189378^2 + 1070544^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1181928482821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113206321 + ... + 113216760.

It is an arithmetic number, because the mean of its divisors is an integer number (51511251155).

Almost surely, 21181928482820 is an apocalyptic number.

1181928482820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1181928482820 is an abundant number, since it is smaller than the sum of its proper divisors (2526881600340).

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

1181928482820 is a wasteful number, since it uses less digits than its factorization.

1181928482820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226423125 (or 226423120 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 54.

The spelling of 1181928482820 in words is "one trillion, one hundred eighty-one billion, nine hundred twenty-eight million, four hundred eighty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 226423081 452846162 679269243 905692324 1132115405 1358538486 2037807729 2264230810 2717076972 3396346215 4075615458 4528461620 6566269349 6792692430 8151230916 10189038645 13132538698 13585384860 19698808047 20378077290 26265077396 32831346745 39397616094 40756154580 59096424141 65662693490 78795232188 98494040235 118192848282 131325386980 196988080470 236385696564 295482120705 393976160940 590964241410 1181928482820