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42743495025 = 3252721121792
BaseRepresentation
bin100111110011101101…
…011111100101110001
311002022212102112011100
4213303231133211301
51200014313320100
631345221235013
73042136466400
oct476355374561
9132285375140
1042743495025
1117144652500
12834a862a69
1340525875ba
1420d6ac3637
1511a27ae400
hex9f3b5f971

42743495025 has 243 divisors, whose sum is σ = 98439762603. Its totient is φ = 17664292800.

The previous prime is 42743494991. The next prime is 42743495117. The reversal of 42743495025 is 52059434724.

The square root of 42743495025 is 206745.

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

42743495025 is a `hidden beast` number, since 42 + 74 + 34 + 9 + 502 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15387658209 + 27355836816 = 124047^2 + 165396^2 .

It is not a de Polignac number, because 42743495025 - 219 = 42742970737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 238790386 + ... + 238790564.

Almost surely, 242743495025 is an apocalyptic number.

42743495025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42743495025 is the 206745-th square number.

42743495025 is the 103373-rd centered octagonal number.

It is an amenable number.

42743495025 is an abundant number, since it is smaller than the sum of its proper divisors (55696267578).

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

42743495025 is a wasteful number, since it uses less digits than its factorization.

42743495025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 42743495025 in words is "forty-two billion, seven hundred forty-three million, four hundred ninety-five thousand, twenty-five".