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56329537000 = 23531119925733
BaseRepresentation
bin110100011101100000…
…001000010111101000
312101101200221222002011
4310131200020113220
51410330330141000
641513305245304
74032620110252
oct643540102750
9171350858064
1056329537000
1121986611970
12ab00793834
1354091a88a9
142a25200cd2
1516ea3c32ba
hexd1d8085e8

56329537000 has 128 divisors (see below), whose sum is σ = 144522144000. Its totient is φ = 20379744000.

The previous prime is 56329536971. The next prime is 56329537007. The reversal of 56329537000 is 73592365.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (56329537007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2176134 + ... + 2201866.

It is an arithmetic number, because the mean of its divisors is an integer number (1129079250).

Almost surely, 256329537000 is an apocalyptic number.

56329537000 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 56329537000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72261072000).

56329537000 is an abundant number, since it is smaller than the sum of its proper divisors (88192607000).

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

56329537000 is a wasteful number, since it uses less digits than its factorization.

56329537000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25964 (or 25950 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 40.

The spelling of 56329537000 in words is "fifty-six billion, three hundred twenty-nine million, five hundred thirty-seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 199 200 220 250 275 398 440 500 550 796 995 1000 1100 1375 1592 1990 2189 2200 2750 3980 4378 4975 5500 7960 8756 9950 10945 11000 17512 19900 21890 24875 25733 39800 43780 49750 51466 54725 87560 99500 102932 109450 128665 199000 205864 218900 257330 273625 283063 437800 514660 547250 566126 643325 1029320 1094500 1132252 1286650 1415315 2189000 2264504 2573300 2830630 3216625 5120867 5146600 5661260 6433250 7076575 10241734 11322520 12866500 14153150 20483468 25604335 25733000 28306300 35382875 40966936 51208670 56329537 56612600 70765750 102417340 112659074 128021675 141531500 204834680 225318148 256043350 281647685 283063000 450636296 512086700 563295370 640108375 1024173400 1126590740 1280216750 1408238425 2253181480 2560433500 2816476850 5120867000 5632953700 7041192125 11265907400 14082384250 28164768500 56329537000