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10742736337 is a prime number
BaseRepresentation
bin10100000000101000…
…10010010111010001
31000201200100112211121
422000110102113101
5134000120030322
64533554042241
7530133516004
oct120024222721
930650315747
1010742736337
114612aa38a3
1220b9879381
131022840a28
1473ca6353b
1542d1c2ec7
hex2805125d1

10742736337 has 2 divisors, whose sum is σ = 10742736338. Its totient is φ = 10742736336.

The previous prime is 10742736259. The next prime is 10742736377. The reversal of 10742736337 is 73363724701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10610854081 + 131882256 = 103009^2 + 11484^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10742736337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10742736293 and 10742736302.

It is not a weakly prime, because it can be changed into another prime (10742736377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5371368168 + 5371368169.

It is an arithmetic number, because the mean of its divisors is an integer number (5371368169).

Almost surely, 210742736337 is an apocalyptic number.

It is an amenable number.

10742736337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10742736337 is an equidigital number, since it uses as much as digits as its factorization.

10742736337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 444528, while the sum is 43.

The spelling of 10742736337 in words is "ten billion, seven hundred forty-two million, seven hundred thirty-six thousand, three hundred thirty-seven".