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56421316350 = 23252717911529
BaseRepresentation
bin110100100010111110…
…001111011011111110
312101122002122211200100
4310202332033123332
51411022324110400
641530344341530
74035113163450
oct644276173376
9171562584610
1056421316350
1121a233a9073
12ab274748a6
1354222016b9
142a334922d0
1517034a2100
hexd22f8f6fe

56421316350 has 72 divisors (see below), whose sum is σ = 173240318160. Its totient is φ = 12896300160.

The previous prime is 56421316339. The next prime is 56421316351. The reversal of 56421316350 is 5361312465.

56421316350 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 13 + 1 + 635 + 0 = 666.

It is a super-3 number, since 3×564213163503 (a number of 33 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56421316351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8952615 + ... + 8958914.

It is an arithmetic number, because the mean of its divisors is an integer number (2406115530).

Almost surely, 256421316350 is an apocalyptic number.

56421316350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56421316350 is an abundant number, since it is smaller than the sum of its proper divisors (116819001810).

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

56421316350 is a wasteful number, since it uses less digits than its factorization.

56421316350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17911554 (or 17911546 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 56421316350 in words is "fifty-six billion, four hundred twenty-one million, three hundred sixteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1050 1575 3150 17911529 35823058 53734587 89557645 107469174 125380703 161203761 179115290 250761406 268672935 322407522 376142109 447788225 537345870 626903515 752284218 806018805 895576450 1128426327 1253807030 1343364675 1612037610 1880710545 2256852654 2686729350 3134517575 3761421090 4030094025 5642131635 6269035150 8060188050 9403552725 11284263270 18807105450 28210658175 56421316350