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4147302768377 is a prime number
BaseRepresentation
bin111100010110011110100…
…000100001111011111001
3112200110220122211122121012
4330112132200201323321
51020422134002042002
612453124455323305
7605430012611246
oct74263640417371
915613818748535
104147302768377
11135995232477a
1256b937380535
13241120620542
14104a327bc5cd
1572d32d9ed52
hex3c59e821ef9

4147302768377 has 2 divisors, whose sum is σ = 4147302768378. Its totient is φ = 4147302768376.

The previous prime is 4147302768317. The next prime is 4147302768379. The reversal of 4147302768377 is 7738672037414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3586872361216 + 560430407161 = 1893904^2 + 748619^2 .

It is a cyclic number.

It is not a de Polignac number, because 4147302768377 - 212 = 4147302764281 is a prime.

It is a super-2 number, since 2×41473027683772 (a number of 26 digits) contains 22 as substring.

Together with 4147302768379, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4147302768379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2073651384188 + 2073651384189.

It is an arithmetic number, because the mean of its divisors is an integer number (2073651384189).

Almost surely, 24147302768377 is an apocalyptic number.

It is an amenable number.

4147302768377 is a deficient number, since it is larger than the sum of its proper divisors (1).

4147302768377 is an equidigital number, since it uses as much as digits as its factorization.

4147302768377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33191424, while the sum is 59.

The spelling of 4147302768377 in words is "four trillion, one hundred forty-seven billion, three hundred two million, seven hundred sixty-eight thousand, three hundred seventy-seven".