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42355254200 = 2352737817669
BaseRepresentation
bin100111011100100100…
…011110001110111000
311001022210212211212112
4213130210132032320
51143220421113300
631242512031452
73026413502060
oct473444361670
9131283784775
1042355254200
1116a65489416
128260832588
133cc00024bc
14209b3003a0
15117d66ee35
hex9dc91e3b8

42355254200 has 96 divisors (see below), whose sum is σ = 115585831200. Its totient is φ = 14129303040.

The previous prime is 42355254133. The next prime is 42355254209. The reversal of 42355254200 is 245255324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42355254209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 357035 + ... + 460634.

It is an arithmetic number, because the mean of its divisors is an integer number (1204019075).

Almost surely, 242355254200 is an apocalyptic number.

42355254200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42355254200 is an abundant number, since it is smaller than the sum of its proper divisors (73230577000).

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

42355254200 is a wasteful number, since it uses less digits than its factorization.

42355254200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817729 (or 817720 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

The spelling of 42355254200 in words is "forty-two billion, three hundred fifty-five million, two hundred fifty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 37 40 50 56 70 74 100 140 148 175 185 200 259 280 296 350 370 518 700 740 925 1036 1295 1400 1480 1850 2072 2590 3700 5180 6475 7400 10360 12950 25900 51800 817669 1635338 3270676 4088345 5723683 6541352 8176690 11447366 16353380 20441725 22894732 28618415 30253753 32706760 40883450 45789464 57236830 60507506 81766900 114473660 121015012 143092075 151268765 163533800 211776271 228947320 242030024 286184150 302537530 423552542 572368300 605075060 756343825 847105084 1058881355 1144736600 1210150120 1512687650 1694210168 2117762710 3025375300 4235525420 5294406775 6050750600 8471050840 10588813550 21177627100 42355254200