Search a number
-
+
11070745679 = 7291312111973
BaseRepresentation
bin10100100111101111…
…00010110001001111
31001120112120011001202
422103313202301033
5140133102330204
65030312300115
7541225533320
oct122367426117
931515504052
1011070745679
1147711690a4
12218b6a163b
1310757976b6
14770448447
1544bdb5e1e
hex293de2c4f

11070745679 has 32 divisors (see below), whose sum is σ = 13257699840. Its totient is φ = 9044380800.

The previous prime is 11070745633. The next prime is 11070745739. The reversal of 11070745679 is 97654707011.

It is a de Polignac number, because none of the positive numbers 2k-11070745679 is a prime.

It is a super-2 number, since 2×110707456792 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11070745619) 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 in 31 ways as a sum of consecutive naturals, for example, 5610137 + ... + 5612109.

It is an arithmetic number, because the mean of its divisors is an integer number (414303120).

Almost surely, 211070745679 is an apocalyptic number.

11070745679 is a deficient number, since it is larger than the sum of its proper divisors (2186954161).

11070745679 is a wasteful number, since it uses less digits than its factorization.

11070745679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351.

The product of its (nonzero) digits is 370440, while the sum is 47.

The spelling of 11070745679 in words is "eleven billion, seventy million, seven hundred forty-five thousand, six hundred seventy-nine".

Divisors: 1 7 29 131 203 211 917 1477 1973 3799 6119 13811 26593 27641 42833 57217 193487 258463 400519 416303 801589 1809241 2914121 5611123 7495427 12072787 52467989 54535693 84509509 381749851 1581535097 11070745679