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11040108048 = 2432413076091
BaseRepresentation
bin10100100100000101…
…01010111000010000
31001111101220121010200
422102002222320100
5140102231424143
65023255455200
7540404240634
oct122202527020
931441817120
1011040108048
114755942642
122181387500
13106c32b418
1476a350dc4
154493631d3
hex2920aae10

11040108048 has 120 divisors (see below), whose sum is σ = 31758863136. Its totient is φ = 3577996800.

The previous prime is 11040108047. The next prime is 11040108067. The reversal of 11040108048 is 84080104011.

It is not an unprimeable number, because it can be changed into a prime (11040108041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1809483 + ... + 1815573.

Almost surely, 211040108048 is an apocalyptic number.

11040108048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11040108048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15879431568).

11040108048 is an abundant number, since it is smaller than the sum of its proper divisors (20718755088).

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

11040108048 is a wasteful number, since it uses less digits than its factorization.

11040108048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6453 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 11040108048 in words is "eleven billion, forty million, one hundred eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 307 328 369 492 614 656 738 921 984 1228 1476 1842 1968 2456 2763 2952 3684 4912 5526 5904 6091 7368 11052 12182 12587 14736 18273 22104 24364 25174 36546 37761 44208 48728 50348 54819 73092 75522 97456 100696 109638 113283 146184 151044 201392 219276 226566 249731 292368 302088 438552 453132 499462 604176 749193 877104 906264 998924 1498386 1812528 1869937 1997848 2247579 2996772 3739874 3995696 4495158 5609811 5993544 7479748 8990316 11219622 11987088 14959496 16829433 17980632 22439244 29918992 33658866 35961264 44878488 67317732 76667417 89756976 134635464 153334834 230002251 269270928 306669668 460004502 613339336 690006753 920009004 1226678672 1380013506 1840018008 2760027012 3680036016 5520054024 11040108048