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10705372671 = 3710312738971
BaseRepresentation
bin10011111100001011…
…10000010111111111
31000122002001021112010
421332011300113333
5133411033411141
64530141142303
7526201111020
oct117605602777
930562037463
1010705372671
1145a39a3a34
1220a925a993
131017b8b156
14737ad8c47
15429c92416
hex27e1705ff

10705372671 has 32 divisors (see below), whose sum is σ = 16601448448. Its totient is φ = 6010109280.

The previous prime is 10705372669. The next prime is 10705372681. The reversal of 10705372671 is 17627350701.

It is not a de Polignac number, because 10705372671 - 21 = 10705372669 is a prime.

It is a super-2 number, since 2×107053726712 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10705372681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255216 + ... + 294186.

It is an arithmetic number, because the mean of its divisors is an integer number (518795264).

Almost surely, 210705372671 is an apocalyptic number.

10705372671 is a deficient number, since it is larger than the sum of its proper divisors (5896075777).

10705372671 is a wasteful number, since it uses less digits than its factorization.

10705372671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39211.

The product of its (nonzero) digits is 61740, while the sum is 39.

The spelling of 10705372671 in words is "ten billion, seven hundred five million, three hundred seventy-two thousand, six hundred seventy-one".

Divisors: 1 3 7 21 103 127 309 381 721 889 2163 2667 13081 38971 39243 91567 116913 272797 274701 818391 4014013 4949317 12042039 14847951 28098091 34645219 84294273 103935657 509779651 1529338953 3568457557 10705372671