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40077797761 is a prime number
BaseRepresentation
bin100101010100110100…
…101010100110000001
310211110002110001222001
4211110310222212001
51124034404012021
630224514144001
72616110442301
oct452464524601
9124402401861
1040077797761
1115aa6965711
127925b82001
133a19221441
141d22a5d601
151098753091
hex954d2a981

40077797761 has 2 divisors, whose sum is σ = 40077797762. Its totient is φ = 40077797760.

The previous prime is 40077797759. The next prime is 40077797803. The reversal of 40077797761 is 16779777004.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39822597136 + 255200625 = 199556^2 + 15975^2 .

It is a cyclic number.

It is not a de Polignac number, because 40077797761 - 21 = 40077797759 is a prime.

It is a super-2 number, since 2×400777977612 (a number of 22 digits) contains 22 as substring.

Together with 40077797759, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (40077797731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20038898880 + 20038898881.

It is an arithmetic number, because the mean of its divisors is an integer number (20038898881).

Almost surely, 240077797761 is an apocalyptic number.

It is an amenable number.

40077797761 is a deficient number, since it is larger than the sum of its proper divisors (1).

40077797761 is an equidigital number, since it uses as much as digits as its factorization.

40077797761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3630312, while the sum is 55.

The spelling of 40077797761 in words is "forty billion, seventy-seven million, seven hundred ninety-seven thousand, seven hundred sixty-one".