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10795988057 = 173735814793
BaseRepresentation
bin10100000110111110…
…11011010001011001
31000212101120000110112
422003133123101121
5134102233104212
64543135254105
7531351245561
oct120337332131
930771500415
1010795988057
114640065688
12211367a335
13103089721a
14745b65da1
15432be1422
hex2837db459

10795988057 has 16 divisors (see below), whose sum is σ = 11745721872. Its totient is φ = 9881487360.

The previous prime is 10795988041. The next prime is 10795988069. The reversal of 10795988057 is 75088959701.

It can be written as a sum of positive squares in 8 ways, for example, as 5597433856 + 5198554201 = 74816^2 + 72101^2 .

It is a cyclic number.

It is not a de Polignac number, because 10795988057 - 24 = 10795988041 is a prime.

It is a super-3 number, since 3×107959880573 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10795987987 and 10795988005.

It is not an unprimeable number, because it can be changed into a prime (10795988257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2250053 + ... + 2254845.

It is an arithmetic number, because the mean of its divisors is an integer number (734107617).

Almost surely, 210795988057 is an apocalyptic number.

10795988057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10795988057 is a deficient number, since it is larger than the sum of its proper divisors (949733815).

10795988057 is a wasteful number, since it uses less digits than its factorization.

10795988057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8428.

The product of its (nonzero) digits is 6350400, while the sum is 59.

The spelling of 10795988057 in words is "ten billion, seven hundred ninety-five million, nine hundred eighty-eight thousand, fifty-seven".

Divisors: 1 17 37 629 3581 4793 60877 81481 132497 177341 2252449 3014797 17163733 291783461 635058121 10795988057