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1089520004600 = 2352311311341443
BaseRepresentation
bin11111101101011000111…
…00111110110111111000
310212011020112002211200222
433312230130332313320
5120322314110121400
62152304002515212
7141500215144046
oct17665434766770
93764215084628
101089520004600
11390076703375
121571a6065b08
137b98381b271
143aa396b9396
151d51a8cc185
hexfdac73edf8

1089520004600 has 96 divisors (see below), whose sum is σ = 2634810647040. Its totient is φ = 418529904000.

The previous prime is 1089520004593. The next prime is 1089520004653. The reversal of 1089520004600 is 64000259801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141479 + ... + 1482921.

It is an arithmetic number, because the mean of its divisors is an integer number (27445944240).

Almost surely, 21089520004600 is an apocalyptic number.

1089520004600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1089520004600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317405323520).

1089520004600 is an abundant number, since it is smaller than the sum of its proper divisors (1545290642440).

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

1089520004600 is a wasteful number, since it uses less digits than its factorization.

1089520004600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341621 (or 1341612 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 1089520004600 in words is "one trillion, eighty-nine billion, five hundred twenty million, four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 131 155 200 248 262 310 524 620 655 775 1048 1240 1310 1550 2620 3100 3275 4061 5240 6200 6550 8122 13100 16244 20305 26200 32488 40610 81220 101525 162440 203050 406100 812200 1341443 2682886 5365772 6707215 10731544 13414430 26828860 33536075 41584733 53657720 67072150 83169466 134144300 166338932 175729033 207923665 268288600 332677864 351458066 415847330 702916132 831694660 878645165 1039618325 1405832264 1663389320 1757290330 2079236650 3514580660 4158473300 4393225825 5447600023 7029161320 8316946600 8786451650 10895200046 17572903300 21790400092 27238000115 35145806600 43580800184 54476000230 108952000460 136190000575 217904000920 272380001150 544760002300 1089520004600