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29274146357 is a prime number
BaseRepresentation
bin11011010000111000…
…000000011000110101
32210120011110201100212
4123100320000120311
5434423140140412
621240502315205
72054304065321
oct332070003065
983504421325
1029274146357
1111462546495
12580ba28b05
1329b6ba30c1
1415b9ca0981
15b6504b222
hex6d0e00635

29274146357 has 2 divisors, whose sum is σ = 29274146358. Its totient is φ = 29274146356.

The previous prime is 29274146351. The next prime is 29274146359. The reversal of 29274146357 is 75364147292.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18668030161 + 10606116196 = 136631^2 + 102986^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-29274146357 is a prime.

Together with 29274146359, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29274146351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14637073178 + 14637073179.

It is an arithmetic number, because the mean of its divisors is an integer number (14637073179).

Almost surely, 229274146357 is an apocalyptic number.

It is an amenable number.

29274146357 is a deficient number, since it is larger than the sum of its proper divisors (1).

29274146357 is an equidigital number, since it uses as much as digits as its factorization.

29274146357 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2540160, while the sum is 50.

The spelling of 29274146357 in words is "twenty-nine billion, two hundred seventy-four million, one hundred forty-six thousand, three hundred fifty-seven".