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11005744228149 = 3112193694722613
BaseRepresentation
bin1010000000100111100101…
…1110011010011100110101
31102222010202020102200222010
42200021321132122130311
52420304231010300044
635223545154154433
72214065413260216
oct240117136323465
942863666380863
1011005744228149
113563567774600
121298ba1582a19
1361aab6509218
142a097640540d
15141440b1cbb9
hexa027979a735

11005744228149 has 48 divisors (see below), whose sum is σ = 16216254806976. Its totient is φ = 6634339092480.

The previous prime is 11005744228121. The next prime is 11005744228153. The reversal of 11005744228149 is 94182244750011.

11005744228149 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 11005744228149 - 27 = 11005744228021 is a prime.

It is a super-2 number, since 2×110057442281492 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11005744228098 and 11005744228107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005744228849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486688567 + ... + 486711179.

It is an arithmetic number, because the mean of its divisors is an integer number (337838641812).

Almost surely, 211005744228149 is an apocalyptic number.

It is an amenable number.

11005744228149 is a deficient number, since it is larger than the sum of its proper divisors (5210510578827).

11005744228149 is a wasteful number, since it uses less digits than its factorization.

11005744228149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29778 (or 29767 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 11005744228149 in words is "eleven trillion, five billion, seven hundred forty-four million, two hundred twenty-eight thousand, one hundred forty-nine".

Divisors: 1 3 11 33 121 193 363 579 2123 6369 6947 20841 22613 23353 67839 70059 76417 229251 248743 746229 840587 1340771 2521761 2736173 4022313 4364309 8208519 13092927 14748481 44245443 48007399 144022197 157092511 162233291 471277533 486699873 528081389 1584244167 1728017621 5184052863 19008193831 30318854623 57024581493 90956563869 333507400853 1000522202559 3668581409383 11005744228149