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42477622201 = 72294432
BaseRepresentation
bin100111100011110111…
…010001001110111001
311001122100010210012201
4213203313101032321
51143443232402301
631303002510201
73032430555100
oct474367211671
9131570123181
1042477622201
11170185682a3
128295805361
13400c4781c1
1420ad675037
151189292201
hex9e3dd13b9

42477622201 has 9 divisors (see below), whose sum is σ = 49414422501. Its totient is φ = 36408153852.

The previous prime is 42477622181. The next prime is 42477622211. The reversal of 42477622201 is 10222677424.

The square root of 42477622201 is 206101.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 42477622201 - 29 = 42477621689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42477622211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1427986 + ... + 1457428.

It is an arithmetic number, because the mean of its divisors is an integer number (5490491389).

Almost surely, 242477622201 is an apocalyptic number.

42477622201 is the 206101-st square number.

42477622201 is the 103051-st centered octagonal number.

It is an amenable number.

42477622201 is a deficient number, since it is larger than the sum of its proper divisors (6936800300).

42477622201 is an frugal number, since it uses more digits than its factorization.

42477622201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58900 (or 29450 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The spelling of 42477622201 in words is "forty-two billion, four hundred seventy-seven million, six hundred twenty-two thousand, two hundred one".

Divisors: 1 7 49 29443 206101 1442707 866890249 6068231743 42477622201