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10742736377 is a prime number
BaseRepresentation
bin10100000000101000…
…10010010111111001
31000201200100112220002
422000110102113321
5134000120031002
64533554042345
7530133516062
oct120024222771
930650315802
1010742736377
114612aa392a
1220b98793b5
131022840a59
1473ca63569
1542d1c3002
hex2805125f9

10742736377 has 2 divisors, whose sum is σ = 10742736378. Its totient is φ = 10742736376.

The previous prime is 10742736337. The next prime is 10742736379. The reversal of 10742736377 is 77363724701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6649423936 + 4093312441 = 81544^2 + 63979^2 .

It is a cyclic number.

It is not a de Polignac number, because 10742736377 - 214 = 10742719993 is a prime.

It is a super-2 number, since 2×107427363772 (a number of 21 digits) contains 22 as substring.

Together with 10742736379, 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 (10742736379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5371368188 + 5371368189.

It is an arithmetic number, because the mean of its divisors is an integer number (5371368189).

Almost surely, 210742736377 is an apocalyptic number.

It is an amenable number.

10742736377 is a deficient number, since it is larger than the sum of its proper divisors (1).

10742736377 is an equidigital number, since it uses as much as digits as its factorization.

10742736377 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1037232, while the sum is 47.

The spelling of 10742736377 in words is "ten billion, seven hundred forty-two million, seven hundred thirty-six thousand, three hundred seventy-seven".