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42052534650 = 23252753251887
BaseRepresentation
bin100111001010100001…
…101100000101111010
311000112201021002201100
4213022201230011322
51142110422102100
631152455432230
73016046434560
oct471241540572
9130481232640
1042052534650
111691a617775
128197385676
133c723918c9
14206d01da30
151161cc5400
hex9ca86c17a

42052534650 has 144 divisors (see below), whose sum is σ = 131558079744. Its totient is φ = 9430611840.

The previous prime is 42052534631. The next prime is 42052534651. The reversal of 42052534650 is 5643525024.

42052534650 is a `hidden beast` number, since 4 + 20 + 52 + 534 + 6 + 50 = 666.

It is not an unprimeable number, because it can be changed into a prime (42052534651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41007 + ... + 292893.

It is an arithmetic number, because the mean of its divisors is an integer number (913597776).

Almost surely, 242052534650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42052534650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65779039872).

42052534650 is an abundant number, since it is smaller than the sum of its proper divisors (89505545094).

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

42052534650 is a wasteful number, since it uses less digits than its factorization.

42052534650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251965 (or 251957 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 42052534650 in words is "forty-two billion, fifty-two million, five hundred thirty-four thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 53 63 70 75 90 105 106 126 150 159 175 210 225 265 315 318 350 371 450 477 525 530 630 742 795 954 1050 1113 1325 1575 1590 1855 2226 2385 2650 3150 3339 3710 3975 4770 5565 6678 7950 9275 11130 11925 16695 18550 23850 27825 33390 55650 83475 166950 251887 503774 755661 1259435 1511322 1763209 2266983 2518870 3526418 3778305 4533966 5289627 6297175 7556610 8816045 10579254 11334915 12594350 13350011 15868881 17632090 18891525 22669830 26448135 26700022 31737762 37783050 40050033 44080225 52896270 56674575 66750055 79344405 80100066 88160450 93450077 113349150 120150099 132240675 133500110 158688810 186900154 200250165 240300198 264481350 280350231 333750275 396722025 400500330 467250385 560700462 600750495 667500550 793444050 841050693 934500770 1001250825 1201500990 1401751155 1682101386 2002501650 2336251925 2803502310 3003752475 4205253465 4672503850 6007504950 7008755775 8410506930 14017511550 21026267325 42052534650