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193620421361 is a prime number
BaseRepresentation
bin1011010001010010101…
…1010010101011110001
3200111202201222111211002
42310110223102223301
511133013311440421
6224540433331345
716663044266243
oct2642453225361
9614681874732
10193620421361
1175128753364
1231637106b55
1315348711c83
14952ab06093
15508335db0b
hex2d14ad2af1

193620421361 has 2 divisors, whose sum is σ = 193620421362. Its totient is φ = 193620421360.

The previous prime is 193620421349. The next prime is 193620421373. The reversal of 193620421361 is 163124026391.

193620421361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (193620421349) and next prime (193620421373).

It can be written as a sum of positive squares in only one way, i.e., 193600000000 + 20421361 = 440000^2 + 4519^2 .

It is a cyclic number.

It is not a de Polignac number, because 193620421361 - 210 = 193620420337 is a prime.

It is a super-2 number, since 2×1936204213612 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (193620421381) 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, 96810210680 + 96810210681.

It is an arithmetic number, because the mean of its divisors is an integer number (96810210681).

Almost surely, 2193620421361 is an apocalyptic number.

It is an amenable number.

193620421361 is a deficient number, since it is larger than the sum of its proper divisors (1).

193620421361 is an equidigital number, since it uses as much as digits as its factorization.

193620421361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 38.

It can be divided in two parts, 1936 and 20421361, that multiplied together give a square (39535754896 = 1988362).

The spelling of 193620421361 in words is "one hundred ninety-three billion, six hundred twenty million, four hundred twenty-one thousand, three hundred sixty-one".