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56345670000 = 243254626063
BaseRepresentation
bin110100011110011101…
…101011000101110000
312101102211022121101200
4310132131223011300
51410343442420000
641515043131200
74033204202244
oct643635530560
9171384277350
1056345670000
1121994730924
12ab06073b00
13540c636b49
142a27400424
1516eba0d500
hexd1e76b170

56345670000 has 150 divisors (see below), whose sum is σ = 197049261552. Its totient is φ = 15025488000.

The previous prime is 56345669999. The next prime is 56345670019. The reversal of 56345670000 is 7654365.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 29 ways as a sum of consecutive naturals, for example, 223032 + ... + 403031.

Almost surely, 256345670000 is an apocalyptic number.

56345670000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56345670000 is an abundant number, since it is smaller than the sum of its proper divisors (140703591552).

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

56345670000 is a wasteful number, since it uses less digits than its factorization.

56345670000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626097 (or 626073 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 56345670000 in words is "fifty-six billion, three hundred forty-five million, six hundred seventy thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 626063 1252126 1878189 2504252 3130315 3756378 5008504 5634567 6260630 7512756 9390945 10017008 11269134 12521260 15025512 15651575 18781890 22538268 25042520 28172835 30051024 31303150 37563780 45076536 46954725 50085040 56345670 62606300 75127560 78257875 90153072 93909450 112691340 125212600 140864175 150255120 156515750 187818900 225382680 234773625 250425200 281728350 313031500 375637800 391289375 450765360 469547250 563456700 626063000 704320875 751275600 782578750 939094500 1126913400 1173868125 1252126000 1408641750 1565157500 1878189000 2253826800 2347736250 2817283500 3130315000 3521604375 3756378000 4695472500 5634567000 6260630000 7043208750 9390945000 11269134000 14086417500 18781890000 28172835000 56345670000