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48735129133 is a prime number
BaseRepresentation
bin101101011000110101…
…110000111000101101
311122210102202001222201
4231120311300320231
51244302143113013
634215534541501
73343462522405
oct553065607055
9148712661881
1048735129133
1119739789929
129541367891
1347989b4522
142504755805
1514037e33dd
hexb58d70e2d

48735129133 has 2 divisors, whose sum is σ = 48735129134. Its totient is φ = 48735129132.

The previous prime is 48735129119. The next prime is 48735129217. The reversal of 48735129133 is 33192153784.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36034289929 + 12700839204 = 189827^2 + 112698^2 .

It is a cyclic number.

It is not a de Polignac number, because 48735129133 - 25 = 48735129101 is a prime.

It is a super-2 number, since 2×487351291332 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (48735229133) 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 as a sum of consecutive naturals, namely, 24367564566 + 24367564567.

It is an arithmetic number, because the mean of its divisors is an integer number (24367564567).

Almost surely, 248735129133 is an apocalyptic number.

It is an amenable number.

48735129133 is a deficient number, since it is larger than the sum of its proper divisors (1).

48735129133 is an equidigital number, since it uses as much as digits as its factorization.

48735129133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 544320, while the sum is 46.

The spelling of 48735129133 in words is "forty-eight billion, seven hundred thirty-five million, one hundred twenty-nine thousand, one hundred thirty-three".