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29014125164153 is a prime number
BaseRepresentation
bin1101001100011011000001…
…00111111011011001111001
310210201201112021021000111222
412212031200213323121321
512300331412020223103
6141412523300001425
76053126032505603
oct646154047733171
9123651467230458
1029014125164153
119276904293048
12330716b990275
131326035696c0c
14724410cbc173
15354acd66b638
hex1a63609fb679

29014125164153 has 2 divisors, whose sum is σ = 29014125164154. Its totient is φ = 29014125164152.

The previous prime is 29014125164137. The next prime is 29014125164159. The reversal of 29014125164153 is 35146152141092.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22079398072384 + 6934727091769 = 4698872^2 + 2633387^2 .

It is a cyclic number.

It is not a de Polignac number, because 29014125164153 - 24 = 29014125164137 is a prime.

It is a super-2 number, since 2×290141251641532 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (29014125164159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14507062582076 + 14507062582077.

It is an arithmetic number, because the mean of its divisors is an integer number (14507062582077).

Almost surely, 229014125164153 is an apocalyptic number.

It is an amenable number.

29014125164153 is a deficient number, since it is larger than the sum of its proper divisors (1).

29014125164153 is an equidigital number, since it uses as much as digits as its factorization.

29014125164153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 259200, while the sum is 44.

The spelling of 29014125164153 in words is "twenty-nine trillion, fourteen billion, one hundred twenty-five million, one hundred sixty-four thousand, one hundred fifty-three".