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10514979774 = 23213172643283
BaseRepresentation
bin10011100101011110…
…11101101110111110
31000010210210022120100
421302233131232332
5133013313323044
64455220301530
7521366565465
oct116257355676
930123708510
1010514979774
114506482a32
1220555418a6
13cb75b8930
1471a6d79dc
154181d4869
hex272bddbbe

10514979774 has 48 divisors (see below), whose sum is σ = 25978195152. Its totient is φ = 3045060864.

The previous prime is 10514979763. The next prime is 10514979803. The reversal of 10514979774 is 47797941501.

It is a happy number.

10514979774 is a `hidden beast` number, since 10 + 51 + 497 + 97 + 7 + 4 = 666.

It is a super-2 number, since 2×105149797742 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10514979774.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1317664 + ... + 1325619.

It is an arithmetic number, because the mean of its divisors is an integer number (541212399).

Almost surely, 210514979774 is an apocalyptic number.

10514979774 is an abundant number, since it is smaller than the sum of its proper divisors (15463215378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10514979774 is a wasteful number, since it uses less digits than its factorization.

10514979774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643321 (or 2643318 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 10514979774 in words is "ten billion, five hundred fourteen million, nine hundred seventy-nine thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 2643283 5286566 7929849 15859698 23789547 34362679 44935811 47579094 68725358 89871622 103088037 134807433 206176074 269614866 309264111 404422299 584165543 618528222 808844598 1168331086 1752496629 3504993258 5257489887 10514979774