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146338945661 is a prime number
BaseRepresentation
bin1000100001001001111…
…0110001101001111101
3111222201121112200110102
42020102132301221331
54344200232230121
6151121023250445
713400262341306
oct2102236615175
9458647480412
10146338945661
1157075579907
1224440749a25
1310a51c4350c
14712346b7ad
153c174ac90b
hex22127b1a7d

146338945661 has 2 divisors, whose sum is σ = 146338945662. Its totient is φ = 146338945660.

The previous prime is 146338945637. The next prime is 146338945663. The reversal of 146338945661 is 166549833641.

146338945661 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., 130039572100 + 16299373561 = 360610^2 + 127669^2 .

It is a cyclic number.

It is not a de Polignac number, because 146338945661 - 210 = 146338944637 is a prime.

It is a super-2 number, since 2×1463389456612 (a number of 23 digits) contains 22 as substring.

Together with 146338945663, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 146338945597 and 146338945606.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (146338945663) 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, 73169472830 + 73169472831.

It is an arithmetic number, because the mean of its divisors is an integer number (73169472831).

Almost surely, 2146338945661 is an apocalyptic number.

It is an amenable number.

146338945661 is a deficient number, since it is larger than the sum of its proper divisors (1).

146338945661 is an equidigital number, since it uses as much as digits as its factorization.

146338945661 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11197440, while the sum is 56.

The spelling of 146338945661 in words is "one hundred forty-six billion, three hundred thirty-eight million, nine hundred forty-five thousand, six hundred sixty-one".