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48601584149 is a prime number
BaseRepresentation
bin101101010000111000…
…010101001000010101
311122110010110021201012
4231100320111020111
51244014001143044
634154404342005
73340251435416
oct552070251025
9148403407635
1048601584149
1119680366578
1295046a4905
134777127321
1424d0b1180d
1513e6c1459e
hexb50e15215

48601584149 has 2 divisors, whose sum is σ = 48601584150. Its totient is φ = 48601584148.

The previous prime is 48601584133. The next prime is 48601584151. The reversal of 48601584149 is 94148510684.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37590229924 + 11011354225 = 193882^2 + 104935^2 .

It is a cyclic number.

It is not a de Polignac number, because 48601584149 - 24 = 48601584133 is a prime.

It is a super-2 number, since 2×486015841492 (a number of 22 digits) contains 22 as substring.

Together with 48601584151, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 48601584097 and 48601584106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (48601584179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24300792074 + 24300792075.

It is an arithmetic number, because the mean of its divisors is an integer number (24300792075).

Almost surely, 248601584149 is an apocalyptic number.

It is an amenable number.

48601584149 is a deficient number, since it is larger than the sum of its proper divisors (1).

48601584149 is an equidigital number, since it uses as much as digits as its factorization.

48601584149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1105920, while the sum is 50.

The spelling of 48601584149 in words is "forty-eight billion, six hundred one million, five hundred eighty-four thousand, one hundred forty-nine".