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56319343300 = 225211234747363
BaseRepresentation
bin110100011100111001…
…001111101011000100
312101100222210001221201
4310130321033223010
51410320222441200
641512302552244
74032434343103
oct643471175304
9171328701851
1056319343300
112198088a220
12aab9298684
135407049b0c
142a23b0a03a
1516e955cc6a
hexd1ce4fac4

56319343300 has 144 divisors (see below), whose sum is σ = 142082906112. Its totient is φ = 19172137600.

The previous prime is 56319343273. The next prime is 56319343357. The reversal of 56319343300 is 334391365.

It is a self number, because there is not a number n which added to its sum of digits gives 56319343300.

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 47 ways as a sum of consecutive naturals, for example, 1165419 + ... + 1212781.

It is an arithmetic number, because the mean of its divisors is an integer number (986686848).

Almost surely, 256319343300 is an apocalyptic number.

56319343300 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 56319343300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71041453056).

56319343300 is an abundant number, since it is smaller than the sum of its proper divisors (85763562812).

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

56319343300 is a wasteful number, since it uses less digits than its factorization.

56319343300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47458 (or 47451 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 37.

The spelling of 56319343300 in words is "fifty-six billion, three hundred nineteen million, three hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 47 50 55 92 94 100 110 115 188 220 230 235 253 275 460 470 506 517 550 575 940 1012 1034 1081 1100 1150 1175 1265 2068 2162 2300 2350 2530 2585 4324 4700 5060 5170 5405 6325 10340 10810 11891 12650 12925 21620 23782 25300 25850 27025 47363 47564 51700 54050 59455 94726 108100 118910 189452 236815 237820 297275 473630 520993 594550 947260 1041986 1089349 1184075 1189100 2083972 2178698 2226061 2368150 2604965 4357396 4452122 4736300 5209930 5446745 8904244 10419860 10893490 11130305 11982839 13024825 21786980 22260610 23965678 24486671 26049650 27233725 44521220 47931356 48973342 51199403 52099300 54467450 55651525 59914195 97946684 102398806 108934900 111303050 119828390 122433355 204797612 222606100 239656780 244866710 255997015 299570975 489733420 511994030 563193433 599141950 612166775 1023988060 1126386866 1198283900 1224333550 1279985075 2252773732 2448667100 2559970150 2815967165 5119940300 5631934330 11263868660 14079835825 28159671650 56319343300