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145045032553 is a prime number
BaseRepresentation
bin1000011100010101011…
…0111000111001101001
3111212101102211002100201
42013011112320321221
54334023012020203
6150344402232201
713323231302011
oct2070526707151
9455342732321
10145045032553
1156571159833
122413b355661
13108a6b59c65
14703d692c41
153b8dac0e1d
hex21c55b8e69

145045032553 has 2 divisors, whose sum is σ = 145045032554. Its totient is φ = 145045032552.

The previous prime is 145045032493. The next prime is 145045032571. The reversal of 145045032553 is 355230540541.

145045032553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102587605849 + 42457426704 = 320293^2 + 206052^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-145045032553 is a prime.

It is a super-2 number, since 2×1450450325532 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (145045030553) 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, 72522516276 + 72522516277.

It is an arithmetic number, because the mean of its divisors is an integer number (72522516277).

Almost surely, 2145045032553 is an apocalyptic number.

It is an amenable number.

145045032553 is a deficient number, since it is larger than the sum of its proper divisors (1).

145045032553 is an equidigital number, since it uses as much as digits as its factorization.

145045032553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180000, while the sum is 37.

The spelling of 145045032553 in words is "one hundred forty-five billion, forty-five million, thirty-two thousand, five hundred fifty-three".