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42355246500 = 22325371970769
BaseRepresentation
bin100111011100100100…
…011100010110100100
311001022210212110022100
4213130210130112210
51143220420342000
631242511532100
73026413440450
oct473444342644
9131283773270
1042355246500
1116a65483656
12826082a030
133cbcccbb48
14209b2db660
15117d66ca00
hex9dc91c5a4

42355246500 has 288 divisors, whose sum is σ = 160744147200. Its totient is φ = 9171532800.

The previous prime is 42355246499. The next prime is 42355246501. The reversal of 42355246500 is 564255324.

42355246500 is a `hidden beast` number, since 42 + 3 + 552 + 4 + 65 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42355246499) and next prime (42355246501).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42355246501) 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 95 ways as a sum of consecutive naturals, for example, 563116 + ... + 633884.

It is an arithmetic number, because the mean of its divisors is an integer number (558139400).

Almost surely, 242355246500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42355246500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80372073600).

42355246500 is an abundant number, since it is smaller than the sum of its proper divisors (118388900700).

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

42355246500 is a wasteful number, since it uses less digits than its factorization.

42355246500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70820 (or 70805 counting only the distinct ones).

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

The spelling of 42355246500 in words is "forty-two billion, three hundred fifty-five million, two hundred forty-six thousand, five hundred".