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10496656079 = 721323121319
BaseRepresentation
bin10011100011010011…
…00100001011001111
31000002112022101011222
421301221210023033
5132444120443304
64453323433555
7521055050600
oct116151441317
930075271158
1010496656079
1144a70a8088
12204b3858bb
13cb3871500
147180c7da7
154167b54be
hex271a642cf

10496656079 has 54 divisors (see below), whose sum is σ = 13672537560. Its totient is φ = 8031048480.

The previous prime is 10496656063. The next prime is 10496656087. The reversal of 10496656079 is 97065669401.

10496656079 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10496656079 - 24 = 10496656063 is a prime.

It is a super-2 number, since 2×104966560792 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10496656079.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10496656099) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 7957382 + ... + 7958700.

It is an arithmetic number, because the mean of its divisors is an integer number (253195140).

Almost surely, 210496656079 is an apocalyptic number.

10496656079 is a deficient number, since it is larger than the sum of its proper divisors (3175881481).

10496656079 is a wasteful number, since it uses less digits than its factorization.

10496656079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 53.

The spelling of 10496656079 in words is "ten billion, four hundred ninety-six million, six hundred fifty-six thousand, seventy-nine".

Divisors: 1 7 13 31 49 91 169 217 403 637 961 1183 1319 1519 2821 5239 6727 8281 9233 12493 17147 19747 36673 40889 47089 64631 87451 120029 162409 222911 256711 286223 531557 612157 840203 1136863 1267559 1560377 2003561 3720899 6910241 7958041 8872913 10922639 16478267 26046293 48371687 62110391 115347869 214217471 338601809 807435083 1499522297 10496656079