Search a number
-
+
1092796136679 = 3131721915732503
BaseRepresentation
bin11111110011011111011…
…10011011110011100111
310212110200211201121001010
433321233232123303213
5120401021302333204
62154005033433303
7141644335620402
oct17715756336347
93773624647033
101092796136679
113914a7a25945
1215795b26b833
137c086494760
143ac6a840d39
151d65d317d89
hexfe6fb9bce7

1092796136679 has 96 divisors (see below), whose sum is σ = 1765835706880. Its totient is φ = 595781941248.

The previous prime is 1092796136671. The next prime is 1092796136681. The reversal of 1092796136679 is 9766316972901.

It is a happy number.

It is not a de Polignac number, because 1092796136679 - 23 = 1092796136671 is a prime.

It is a super-3 number, since 3×10927961366793 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1092796136671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33605142 + ... + 33637644.

Almost surely, 21092796136679 is an apocalyptic number.

1092796136679 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1092796136679 is a deficient number, since it is larger than the sum of its proper divisors (673039570201).

1092796136679 is a wasteful number, since it uses less digits than its factorization.

1092796136679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32729 (or 32712 counting only the distinct ones).

The product of its (nonzero) digits is 46294416, while the sum is 66.

The spelling of 1092796136679 in words is "one trillion, ninety-two billion, seven hundred ninety-six million, one hundred thirty-six thousand, six hundred seventy-nine".

Divisors: 1 3 13 17 19 39 51 57 157 221 247 289 323 471 663 741 867 969 2041 2669 2983 3757 4199 5491 6123 8007 8949 11271 12597 16473 32503 34697 38779 45373 50711 71383 97509 104091 116337 136119 152133 214149 422539 552551 589849 617557 659243 862087 1267617 1657653 1769547 1852671 1977729 2586261 5102971 7183163 8028241 9393367 10498469 11207131 15308913 21549489 24084723 28180101 31495407 33621393 66338623 86750507 96956449 122113771 136480097 178473973 199015869 260251521 290869347 366341313 409440291 535421919 1127756591 1260433837 1474758619 1648259633 2320161649 3383269773 3781301511 4424275857 4944778899 6960484947 19171862047 21427375229 28020413761 57515586141 64282125687 84061241283 364265378893 1092796136679