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42246540225 = 355225727059
BaseRepresentation
bin100111010110000101…
…110000101111000001
311001001020022121100000
4213112011300233001
51143010103241400
631224025550213
73023623444521
oct472605605701
9131036277300
1042246540225
1116a0a085a5a
128230345369
133ca362a5c6
14208aac1681
151173d48600
hex9d6170bc1

42246540225 has 72 divisors (see below), whose sum is σ = 78779020320. Its totient is φ = 22442987520.

The previous prime is 42246540209. The next prime is 42246540229. The reversal of 42246540225 is 52204564224.

42246540225 is a `hidden beast` number, since 4 + 2 + 246 + 5 + 402 + 2 + 5 = 666.

It is not a de Polignac number, because 42246540225 - 24 = 42246540209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42246540225.

It is not an unprimeable number, because it can be changed into a prime (42246540229) 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, 1547746 + ... + 1574804.

It is an arithmetic number, because the mean of its divisors is an integer number (1094153060).

Almost surely, 242246540225 is an apocalyptic number.

42246540225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42246540225 is a deficient number, since it is larger than the sum of its proper divisors (36532480095).

42246540225 is a wasteful number, since it uses less digits than its factorization.

42246540225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27341 (or 27324 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 42246540225 in words is "forty-two billion, two hundred forty-six million, five hundred forty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 257 405 675 771 1215 1285 2025 2313 3855 6075 6425 6939 11565 19275 20817 27059 34695 57825 62451 81177 104085 135295 173475 243531 312255 405885 520425 676475 730593 1217655 1561275 2029425 2191779 3652965 6088275 6575337 6954163 10958895 18264825 20862489 32876685 34770815 54794475 62587467 104312445 164383425 173854075 187762401 312937335 521562225 563287203 938812005 1564686675 1689861609 2816436015 4694060025 8449308045 14082180075 42246540225