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147854418401 is a prime number
BaseRepresentation
bin1000100110110011001…
…1110110000111100001
3112010122020011200020102
42021230303312013201
54410301212342101
6151531241152145
713452653551214
oct2115463660741
9463566150212
10147854418401
1157782a67a18
12247a418b655
1310c33bc2351
14722883b77b
153ca556186b
hex226ccf61e1

147854418401 has 2 divisors, whose sum is σ = 147854418402. Its totient is φ = 147854418400.

The previous prime is 147854418319. The next prime is 147854418469. The reversal of 147854418401 is 104814458741.

147854418401 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., 128164716001 + 19689702400 = 358001^2 + 140320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-147854418401 is a prime.

It is not a weakly prime, because it can be changed into another prime (147854417401) 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, 73927209200 + 73927209201.

It is an arithmetic number, because the mean of its divisors is an integer number (73927209201).

Almost surely, 2147854418401 is an apocalyptic number.

It is an amenable number.

147854418401 is a deficient number, since it is larger than the sum of its proper divisors (1).

147854418401 is an equidigital number, since it uses as much as digits as its factorization.

147854418401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 573440, while the sum is 47.

The spelling of 147854418401 in words is "one hundred forty-seven billion, eight hundred fifty-four million, four hundred eighteen thousand, four hundred one".