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10691879105 = 517779316141
BaseRepresentation
bin10011111010100100…
…10010000011000001
31000121010122201211102
421331102102003001
5133344110112410
64524540024145
7525645321125
oct117522220301
930533581742
1010691879105
114597318026
1220a4832055
1310151453ab
14735dc5585
154289c92a5
hex27d4920c1

10691879105 has 16 divisors (see below), whose sum is σ = 13587560784. Its totient is φ = 8048824320.

The previous prime is 10691879057. The next prime is 10691879117. The reversal of 10691879105 is 50197819601.

It can be written as a sum of positive squares in 8 ways, for example, as 1214661904 + 9477217201 = 34852^2 + 97351^2 .

It is not a de Polignac number, because 10691879105 - 212 = 10691875009 is a prime.

It is a super-2 number, since 2×106918791052 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10691879105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654335 + ... + 670475.

It is an arithmetic number, because the mean of its divisors is an integer number (849222549).

Almost surely, 210691879105 is an apocalyptic number.

It is an amenable number.

10691879105 is a deficient number, since it is larger than the sum of its proper divisors (2895681679).

10691879105 is a wasteful number, since it uses less digits than its factorization.

10691879105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23956.

The product of its (nonzero) digits is 136080, while the sum is 47.

The spelling of 10691879105 in words is "ten billion, six hundred ninety-one million, eight hundred seventy-nine thousand, one hundred five".

Divisors: 1 5 17 85 7793 16141 38965 80705 132481 274397 662405 1371985 125786813 628934065 2138375821 10691879105