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11311004442096 = 243339551662003
BaseRepresentation
bin1010010010011000110001…
…1001101101110111110000
31111001022200100101021201000
42210212030121231313300
52440304414114121341
640020112000042000
72245123143262362
oct244461431556760
944038610337630
1011311004442096
113670a74148457
121328194603300
13640814074158
142b1653dc2d32
15149359ed38b6
hexa498c66ddf0

11311004442096 has 80 divisors (see below), whose sum is σ = 32467641937920. Its totient is φ = 3770233790400.

The previous prime is 11311004442079. The next prime is 11311004442121. The reversal of 11311004442096 is 69024440011311.

11311004442096 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 1 + 0 + 0 + 444 + 209 + 6 = 666.

11311004442096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11311004442096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16755031 + ... + 17417033.

It is an arithmetic number, because the mean of its divisors is an integer number (405845524224).

Almost surely, 211311004442096 is an apocalyptic number.

11311004442096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11311004442096 is an abundant number, since it is smaller than the sum of its proper divisors (21156637495824).

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

11311004442096 is a wasteful number, since it uses less digits than its factorization.

11311004442096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701571 (or 701559 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11311004442096 in words is "eleven trillion, three hundred eleven billion, four million, four hundred forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 39551 79102 118653 158204 237306 316408 355959 474612 632816 662003 711918 949224 1067877 1324006 1423836 1898448 1986009 2135754 2648012 2847672 3972018 4271508 5296024 5695344 5958027 7944036 8543016 10592048 11916054 15888072 17086032 17874081 23832108 31776144 35748162 47664216 71496324 95328432 142992648 285985296 26182880653 52365761306 78548641959 104731522612 157097283918 209463045224 235645925877 314194567836 418926090448 471291851754 628389135672 706937777631 942583703508 1256778271344 1413875555262 1885167407016 2827751110524 3770334814032 5655502221048 11311004442096