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56539232000 = 285315111701
BaseRepresentation
bin110100101010000000…
…000011011100000000
312101221022112120112122
4310222000003130000
51411243020411000
641550155543412
74041044354036
oct645200033400
9171838476478
1056539232000
1121a83a16919
12ab5aa5ab68
135440778984
142a44dc8556
15170d9e5085
hexd2a003700

56539232000 has 144 divisors (see below), whose sum is σ = 141791168064. Its totient is φ = 22464000000.

The previous prime is 56539231993. The next prime is 56539232041. The reversal of 56539232000 is 23293565.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4826150 + ... + 4837850.

Almost surely, 256539232000 is an apocalyptic number.

56539232000 is a gapful number since it is divisible by the number (50) 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 56539232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70895584032).

56539232000 is an abundant number, since it is smaller than the sum of its proper divisors (85251936064).

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

56539232000 is a wasteful number, since it uses less digits than its factorization.

56539232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11883 (or 11859 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

The spelling of 56539232000 in words is "fifty-six billion, five hundred thirty-nine million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 151 160 200 250 256 302 320 400 500 604 640 755 800 1000 1208 1280 1510 1600 2000 2416 3020 3200 3775 4000 4832 6040 6400 7550 8000 9664 11701 12080 15100 16000 18875 19328 23402 24160 30200 32000 37750 38656 46804 48320 58505 60400 75500 93608 96640 117010 120800 151000 187216 193280 234020 241600 292525 302000 374432 468040 483200 585050 604000 748864 936080 966400 1170100 1208000 1462625 1497728 1766851 1872160 2340200 2416000 2925250 2995456 3533702 3744320 4680400 4832000 5850500 7067404 7488640 8834255 9360800 11701000 14134808 14977280 17668510 18721600 23402000 28269616 35337020 37443200 44171275 46804000 56539232 70674040 74886400 88342550 93608000 113078464 141348080 176685100 187216000 220856375 226156928 282696160 353370200 374432000 441712750 452313856 565392320 706740400 883425500 1130784640 1413480800 1766851000 2261569280 2826961600 3533702000 5653923200 7067404000 11307846400 14134808000 28269616000 56539232000