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42355008200 = 23521491421309
BaseRepresentation
bin100111011100100011…
…100010001011001000
311001022210102100102102
4213130203202023020
51143220340230300
631242502452532
73026411425631
oct473443421310
9131283370372
1042355008200
1116a6533060a
128260734148
133cbcc4753b
14209b278888
15117d6220d5
hex9dc8e22c8

42355008200 has 48 divisors (see below), whose sum is σ = 99136372500. Its totient is φ = 16828286720.

The previous prime is 42355008169. The next prime is 42355008211. The reversal of 42355008200 is 280055324.

It can be written as a sum of positive squares in 6 ways, for example, as 8225401636 + 34129606564 = 90694^2 + 184742^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 680855 + ... + 740454.

Almost surely, 242355008200 is an apocalyptic number.

42355008200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42355008200 is an abundant number, since it is smaller than the sum of its proper divisors (56781364300).

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

42355008200 is a wasteful number, since it uses less digits than its factorization.

42355008200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421474 (or 1421465 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 42355008200 in words is "forty-two billion, three hundred fifty-five million, eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 200 298 596 745 1192 1490 2980 3725 5960 7450 14900 29800 1421309 2842618 5685236 7106545 11370472 14213090 28426180 35532725 56852360 71065450 142130900 211775041 284261800 423550082 847100164 1058875205 1694200328 2117750410 4235500820 5294376025 8471001640 10588752050 21177504100 42355008200