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29963153498797 is a prime number
BaseRepresentation
bin1101101000000010101110…
…00111101110001010101101
310221002110010200111120002101
412310001113013232022231
512411404014243430142
6143420514354455101
76211523606322361
oct664012707561255
9127073120446071
1029963153498797
119602336015372
12343b087594491
1313946897c680c
1475831d9412a1
1536e6250a70b7
hex1b40571ee2ad

29963153498797 has 2 divisors, whose sum is σ = 29963153498798. Its totient is φ = 29963153498796.

The previous prime is 29963153498767. The next prime is 29963153498807. The reversal of 29963153498797 is 79789435136992.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18768468043081 + 11194685455716 = 4332259^2 + 3345846^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-29963153498797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 29963153498797.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29963153498767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14981576749398 + 14981576749399.

It is an arithmetic number, because the mean of its divisors is an integer number (14981576749399).

Almost surely, 229963153498797 is an apocalyptic number.

It is an amenable number.

29963153498797 is a deficient number, since it is larger than the sum of its proper divisors (1).

29963153498797 is an equidigital number, since it uses as much as digits as its factorization.

29963153498797 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5555329920, while the sum is 82.

The spelling of 29963153498797 in words is "twenty-nine trillion, nine hundred sixty-three billion, one hundred fifty-three million, four hundred ninety-eight thousand, seven hundred ninety-seven".