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11039383120 = 245433539091
BaseRepresentation
bin10100100011111111…
…11001111001010000
31001111100112202201111
422101333321321100
5140102040224440
65023232143104
7540365131303
oct122177717120
931440482644
1011039383120
114755497a27
122181097a94
13106c13647c
1476a202b3a
1544926d4ea
hex291ff9e50

11039383120 has 80 divisors (see below), whose sum is σ = 26340760512. Its totient is φ = 4300369920.

The previous prime is 11039383111. The next prime is 11039383139. The reversal of 11039383120 is 2138393011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1209775 + ... + 1218865.

Almost surely, 211039383120 is an apocalyptic number.

11039383120 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 11039383120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13170380256).

11039383120 is an abundant number, since it is smaller than the sum of its proper divisors (15301377392).

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

11039383120 is a wasteful number, since it uses less digits than its factorization.

11039383120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9500 (or 9494 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 11039383120 in words is "eleven billion, thirty-nine million, three hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 353 430 688 706 860 1412 1720 1765 2824 3440 3530 5648 7060 9091 14120 15179 18182 28240 30358 36364 45455 60716 72728 75895 90910 121432 145456 151790 181820 242864 303580 363640 390913 607160 727280 781826 1214320 1563652 1954565 3127304 3209123 3909130 6254608 6418246 7818260 12836492 15636520 16045615 25672984 31273040 32091230 51345968 64182460 128364920 137992289 256729840 275984578 551969156 689961445 1103938312 1379922890 2207876624 2759845780 5519691560 11039383120