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42552204200 = 23521159327829
BaseRepresentation
bin100111101000010011…
…110001101110101000
311001211112110221110222
4213220103301232220
51144121331013300
631314225225212
73034324524242
oct475023615650
9131745427428
1042552204200
1117056678910
1282b6792208
134021a5c46c
1420b952b092
151190ac5785
hex9e84f1ba8

42552204200 has 96 divisors (see below), whose sum is σ = 109757484000. Its totient is φ = 15211219200.

The previous prime is 42552204193. The next prime is 42552204239. The reversal of 42552204200 is 240225524.

42552204200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42552204200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34115 + ... + 293714.

It is an arithmetic number, because the mean of its divisors is an integer number (1143307125).

Almost surely, 242552204200 is an apocalyptic number.

42552204200 is a gapful number since it is divisible by the number (40) 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 42552204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54878742000).

42552204200 is an abundant number, since it is smaller than the sum of its proper divisors (67205279800).

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

42552204200 is a wasteful number, since it uses less digits than its factorization.

42552204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327915 (or 327906 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

Adding to 42552204200 its reverse (240225524), we get a palindrome (42792429724).

The spelling of 42552204200 in words is "forty-two billion, five hundred fifty-two million, two hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 59 88 100 110 118 200 220 236 275 295 440 472 550 590 649 1100 1180 1298 1475 2200 2360 2596 2950 3245 5192 5900 6490 11800 12980 16225 25960 32450 64900 129800 327829 655658 1311316 1639145 2622632 3278290 3606119 6556580 7212238 8195725 13113160 14424476 16391450 18030595 19341911 28848952 32782900 36061190 38683822 65565800 72122380 77367644 90152975 96709555 144244760 154735288 180305950 193419110 212761021 360611900 386838220 425522042 483547775 721223800 773676440 851044084 967095550 1063805105 1702088168 1934191100 2127610210 3868382200 4255220420 5319025525 8510440840 10638051050 21276102100 42552204200