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36935129081 is a prime number
BaseRepresentation
bin100010011001100000…
…010101011111111001
310112100001221221222202
4202121200111133321
51101120343112311
624545011555545
72445200263034
oct423140253771
9115301857882
1036935129081
1114733a10174
1271a95bbbb5
133638106c86
141b0551a01b
15e628cbe3b
hex8998157f9

36935129081 has 2 divisors, whose sum is σ = 36935129082. Its totient is φ = 36935129080.

The previous prime is 36935129069. The next prime is 36935129093. The reversal of 36935129081 is 18092153963.

36935129081 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 (36935129069) and next prime (36935129093).

It can be written as a sum of positive squares in only one way, i.e., 23505795856 + 13429333225 = 153316^2 + 115885^2 .

It is a cyclic number.

It is not a de Polignac number, because 36935129081 - 210 = 36935128057 is a prime.

It is a super-2 number, since 2×369351290812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (36935129281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18467564540 + 18467564541.

It is an arithmetic number, because the mean of its divisors is an integer number (18467564541).

Almost surely, 236935129081 is an apocalyptic number.

It is an amenable number.

36935129081 is a deficient number, since it is larger than the sum of its proper divisors (1).

36935129081 is an equidigital number, since it uses as much as digits as its factorization.

36935129081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 349920, while the sum is 47.

The spelling of 36935129081 in words is "thirty-six billion, nine hundred thirty-five million, one hundred twenty-nine thousand, eighty-one".