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40273666489 = 72286692
BaseRepresentation
bin100101100000011111…
…110110000110111001
310211221202000020100101
4211200133312012321
51124440024311424
630300152235401
72624006342200
oct454037660671
9124852006311
1040273666489
11160974867a1
12797b69bb61
133a4a9901b4
141d40a88237
1510aaa43344
hex9607f61b9

40273666489 has 9 divisors (see below), whose sum is σ = 46850593167. Its totient is φ = 34519081464.

The previous prime is 40273666481. The next prime is 40273666507. The reversal of 40273666489 is 98466637204.

The square root of 40273666489 is 200683.

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

It can be written as a sum of positive squares in only one way, i.e., 32568338089 + 7705328400 = 180467^2 + 87780^2 .

It is not a de Polignac number, because 40273666489 - 23 = 40273666481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40273666481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1390447 + ... + 1419115.

It is an arithmetic number, because the mean of its divisors is an integer number (5205621463).

Almost surely, 240273666489 is an apocalyptic number.

40273666489 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

40273666489 is the 200683-rd square number.

40273666489 is the 100342-nd centered octagonal number.

It is an amenable number.

40273666489 is a deficient number, since it is larger than the sum of its proper divisors (6576926678).

40273666489 is an frugal number, since it uses more digits than its factorization.

40273666489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57352 (or 28676 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 55.

It can be divided in two parts, 402736 and 66489, that added together give a square (469225 = 6852).

The spelling of 40273666489 in words is "forty billion, two hundred seventy-three million, six hundred sixty-six thousand, four hundred eighty-nine".

Divisors: 1 7 49 28669 200683 1404781 821911561 5753380927 40273666489