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147354516401 is a prime number
BaseRepresentation
bin1000100100111100000…
…0110111101110110001
3112002100101112000121112
42021033000313232301
54403240224011101
6151405502403105
713434403503041
oct2111700675661
9462311460545
10147354516401
1157546868174
1224684890495
1310b84472a51
1471bc2ad721
153c767176bb
hex224f037bb1

147354516401 has 2 divisors, whose sum is σ = 147354516402. Its totient is φ = 147354516400.

The previous prime is 147354516343. The next prime is 147354516487. The reversal of 147354516401 is 104615453741.

147354516401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 145770476401 + 1584040000 = 381799^2 + 39800^2 .

It is a cyclic number.

It is not a de Polignac number, because 147354516401 - 210 = 147354515377 is a prime.

It is not a weakly prime, because it can be changed into another prime (147354512401) 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, 73677258200 + 73677258201.

It is an arithmetic number, because the mean of its divisors is an integer number (73677258201).

Almost surely, 2147354516401 is an apocalyptic number.

It is an amenable number.

147354516401 is a deficient number, since it is larger than the sum of its proper divisors (1).

147354516401 is an equidigital number, since it uses as much as digits as its factorization.

147354516401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 147354516401 in words is "one hundred forty-seven billion, three hundred fifty-four million, five hundred sixteen thousand, four hundred one".