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10906148641 is a prime number
BaseRepresentation
bin10100010100000111…
…01001111100100001
31001011001211202101011
422022003221330201
5134313433224031
65002112340521
7534156506503
oct121203517441
931131752334
1010906148641
114697266993
122144544741
13104a6576bb
1475663dd73
1543c7016b1
hex28a0e9f21

10906148641 has 2 divisors, whose sum is σ = 10906148642. Its totient is φ = 10906148640.

The previous prime is 10906148629. The next prime is 10906148663. The reversal of 10906148641 is 14684160901.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5733518400 + 5172630241 = 75720^2 + 71921^2 .

It is a cyclic number.

It is not a de Polignac number, because 10906148641 - 211 = 10906146593 is a prime.

It is a super-2 number, since 2×109061486412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10906148594 and 10906148603.

It is not a weakly prime, because it can be changed into another prime (10906148611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5453074320 + 5453074321.

It is an arithmetic number, because the mean of its divisors is an integer number (5453074321).

Almost surely, 210906148641 is an apocalyptic number.

It is an amenable number.

10906148641 is a deficient number, since it is larger than the sum of its proper divisors (1).

10906148641 is an equidigital number, since it uses as much as digits as its factorization.

10906148641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 10906148641 in words is "ten billion, nine hundred six million, one hundred forty-eight thousand, six hundred forty-one".