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10261968696 = 2332723885263
BaseRepresentation
bin10011000111010100…
…10011011100111000
3222111011201000121200
421203222103130320
5132004030444241
64414141334200
7512205203040
oct114352233470
928434630550
1010261968696
114396682a71
121ba4867360
13c77060835
146d4c76720
15400da84b6
hex263a93738

10261968696 has 96 divisors (see below), whose sum is σ = 33144284160. Its totient is φ = 2804510016.

The previous prime is 10261968683. The next prime is 10261968713. The reversal of 10261968696 is 69686916201.

It is a happy number.

10261968696 is a `hidden beast` number, since 10 + 2 + 619 + 6 + 8 + 6 + 9 + 6 = 666.

10261968696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431040 + ... + 454223.

It is an arithmetic number, because the mean of its divisors is an integer number (345252960).

Almost surely, 210261968696 is an apocalyptic number.

It is an amenable number.

10261968696 is an abundant number, since it is smaller than the sum of its proper divisors (22882315464).

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

10261968696 is a wasteful number, since it uses less digits than its factorization.

10261968696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885305 (or 885298 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 10261968696 in words is "ten billion, two hundred sixty-one million, nine hundred sixty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 885263 1770526 2655789 3541052 5311578 6196841 7082104 7967367 10623156 12393682 15934734 18590523 20361049 21246312 24787364 31869468 37181046 40722098 49574728 55771569 61083147 63738936 74362092 81444196 111543138 122166294 142527343 148724184 162888392 183249441 223086276 244332588 285054686 366498882 427582029 446172552 488665176 570109372 732997764 855164058 1140218744 1282746087 1465995528 1710328116 2565492174 3420656232 5130984348 10261968696