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42252520000 = 26543728549
BaseRepresentation
bin100111010110011100…
…100100101001000000
311001001122120102001011
4213112130210221000
51143013121120000
631224402050304
73024025331335
oct472634445100
9131048512034
1042252520000
1116a1249a719
128232349994
133ca4942332
14208b7da98c
15117462a2ba
hex9d6724a40

42252520000 has 140 divisors (see below), whose sum is σ = 107607976300. Its totient is φ = 16443648000.

The previous prime is 42252519977. The next prime is 42252520019. The reversal of 42252520000 is 2525224.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 30326132736 + 11926387264 = 174144^2 + 109208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1465726 + ... + 1494274.

Almost surely, 242252520000 is an apocalyptic number.

42252520000 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 42252520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53803988150).

42252520000 is an abundant number, since it is smaller than the sum of its proper divisors (65355456300).

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

42252520000 is an equidigital number, since it uses as much as digits as its factorization.

42252520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28618 (or 28593 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The spelling of 42252520000 in words is "forty-two billion, two hundred fifty-two million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 148 160 185 200 250 296 320 370 400 500 592 625 740 800 925 1000 1184 1250 1480 1600 1850 2000 2368 2500 2960 3700 4000 4625 5000 5920 7400 8000 9250 10000 11840 14800 18500 20000 23125 28549 29600 37000 40000 46250 57098 59200 74000 92500 114196 142745 148000 185000 228392 285490 296000 370000 456784 570980 713725 740000 913568 1056313 1141960 1427450 1480000 1827136 2112626 2283920 2854900 3568625 4225252 4567840 5281565 5709800 7137250 8450504 9135680 10563130 11419600 14274500 16901008 17843125 21126260 22839200 26407825 28549000 33802016 35686250 42252520 45678400 52815650 57098000 67604032 71372500 84505040 105631300 114196000 132039125 142745000 169010080 211262600 228392000 264078250 285490000 338020160 422525200 528156500 570980000 660195625 845050400 1056313000 1141960000 1320391250 1690100800 2112626000 2640782500 4225252000 5281565000 8450504000 10563130000 21126260000 42252520000