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48408181035737 is a prime number
BaseRepresentation
bin10110000000110111010000…
…11011110101001011011001
320100101202222100221110102012
423000123220123311023121
522321104423321120422
6250542224504315305
713124242565445155
oct1300335033651331
9210352870843365
1048408181035737
1114473881217966
1255199b5a72b35
132101b446b74b3
14bd4d7b66c065
1558e31b8d64e2
hex2c06e86f52d9

48408181035737 has 2 divisors, whose sum is σ = 48408181035738. Its totient is φ = 48408181035736.

The previous prime is 48408181035713. The next prime is 48408181035763. The reversal of 48408181035737 is 73753018180484.

It is a happy number.

48408181035737 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47723558834176 + 684622201561 = 6908224^2 + 827419^2 .

It is a cyclic number.

It is not a de Polignac number, because 48408181035737 - 212 = 48408181031641 is a prime.

It is a super-2 number, since 2×484081810357372 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (48408181037737) by changing a digit.

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 as a sum of consecutive naturals, namely, 24204090517868 + 24204090517869.

It is an arithmetic number, because the mean of its divisors is an integer number (24204090517869).

Almost surely, 248408181035737 is an apocalyptic number.

It is an amenable number.

48408181035737 is a deficient number, since it is larger than the sum of its proper divisors (1).

48408181035737 is an equidigital number, since it uses as much as digits as its factorization.

48408181035737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18063360, while the sum is 59.

The spelling of 48408181035737 in words is "forty-eight trillion, four hundred eight billion, one hundred eighty-one million, thirty-five thousand, seven hundred thirty-seven".