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13833052993 is a prime number
BaseRepresentation
bin11001110001000001…
…11010001101000001
31022201001022220100001
430320200322031001
5211312230143433
610204350200001
7666540003364
oct147040721501
938631286301
1013833052993
115959441501
1228207b3001
1313c5b58376
1495325a0db
1555e65757d
hex33883a341

13833052993 has 2 divisors, whose sum is σ = 13833052994. Its totient is φ = 13833052992.

The previous prime is 13833052943. The next prime is 13833053011. The reversal of 13833052993 is 39925033831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13718734129 + 114318864 = 117127^2 + 10692^2 .

It is an emirp because it is prime and its reverse (39925033831) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13833052993 is a prime.

It is not a weakly prime, because it can be changed into another prime (13833052943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6916526496 + 6916526497.

It is an arithmetic number, because the mean of its divisors is an integer number (6916526497).

Almost surely, 213833052993 is an apocalyptic number.

It is an amenable number.

13833052993 is a deficient number, since it is larger than the sum of its proper divisors (1).

13833052993 is an equidigital number, since it uses as much as digits as its factorization.

13833052993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 524880, while the sum is 46.

The spelling of 13833052993 in words is "thirteen billion, eight hundred thirty-three million, fifty-two thousand, nine hundred ninety-three".