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54236782753000 = 23531991032126407
BaseRepresentation
bin11000101010011111111000…
…01010110111010011101000
321010000222121122101002212121
430111033330022313103220
524102103412341044000
6311204011203321024
714265323015550211
oct1425177412672350
9233028548332777
1054236782753000
1116310765a06681
1260bb550980174
1324356781c3283
14d57107bdc408
15640c533bcb1a
hex3153fc2b74e8

54236782753000 has 128 divisors (see below), whose sum is σ = 127569019968000. Its totient is φ = 21582785664000.

The previous prime is 54236782752949. The next prime is 54236782753009. The reversal of 54236782753000 is 35728763245.

It is a super-2 number, since 2×542367827530002 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (54236782753009) 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, 2053865797 + ... + 2053892203.

It is an arithmetic number, because the mean of its divisors is an integer number (996632968500).

Almost surely, 254236782753000 is an apocalyptic number.

54236782753000 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 54236782753000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63784509984000).

54236782753000 is an abundant number, since it is smaller than the sum of its proper divisors (73332237215000).

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

54236782753000 is a wasteful number, since it uses less digits than its factorization.

54236782753000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36948 (or 36934 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 52.

The spelling of 54236782753000 in words is "fifty-four trillion, two hundred thirty-six billion, seven hundred eighty-two million, seven hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 199 200 250 398 500 796 995 1000 1592 1990 3980 4975 7960 9950 10321 19900 20642 24875 26407 39800 41284 49750 51605 52814 82568 99500 103210 105628 132035 199000 206420 211256 258025 264070 412840 516050 528140 660175 1032100 1056280 1290125 1320350 2053879 2064200 2580250 2640700 3300875 4107758 5160500 5254993 5281400 6601750 8215516 10269395 10321000 10509986 13203500 16431032 20538790 21019972 26274965 26407000 41077580 42039944 51346975 52549930 82155160 102693950 105099860 131374825 205387900 210199720 256734875 262749650 272546647 410775800 513469750 525499300 545093294 656874125 1026939500 1050998600 1090186588 1313748250 1362733235 2053879000 2180373176 2627496500 2725466470 5254993000 5450932940 6813666175 10901865880 13627332350 27254664700 34068330875 54236782753 54509329400 68136661750 108473565506 136273323500 216947131012 271183913765 272546647000 433894262024 542367827530 1084735655060 1355919568825 2169471310120 2711839137650 5423678275300 6779597844125 10847356550600 13559195688250 27118391376500 54236782753000