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11042448984 = 2333741178127
BaseRepresentation
bin10100100100010111…
…00110011001011000
31001111120022112022000
422102023212121120
5140103331331414
65023422001000
7540433160550
oct122213463130
931446275260
1011042448984
1147571a13a6
122182116160
13106c96aaa8
1476a7a0160
15449676b09
hex2922e6658

11042448984 has 128 divisors (see below), whose sum is σ = 35910604800. Its totient is φ = 3078017280.

The previous prime is 11042448947. The next prime is 11042449003. The reversal of 11042448984 is 48984424011.

11042448984 is a `hidden beast` number, since 110 + 4 + 2 + 448 + 98 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27072 + ... + 151055.

It is an arithmetic number, because the mean of its divisors is an integer number (280551600).

Almost surely, 211042448984 is an apocalyptic number.

11042448984 is a gapful number since it is divisible by the number (14) 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 11042448984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17955302400).

11042448984 is an abundant number, since it is smaller than the sum of its proper divisors (24868155816).

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

11042448984 is a wasteful number, since it uses less digits than its factorization.

11042448984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178190 (or 178180 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 11042448984 in words is "eleven billion, forty-two million, four hundred forty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 189 216 246 252 287 328 369 378 492 504 574 738 756 861 984 1107 1148 1476 1512 1722 2214 2296 2583 2952 3444 4428 5166 6888 7749 8856 10332 15498 20664 30996 61992 178127 356254 534381 712508 1068762 1246889 1425016 1603143 2137524 2493778 3206286 3740667 4275048 4809429 4987556 6412572 7303207 7481334 9618858 9975112 11222001 12825144 14606414 14962668 19237716 21909621 22444002 29212828 29925336 33666003 38475432 43819242 44888004 51122449 58425656 65728863 67332006 87638484 89776008 102244898 131457726 134664012 153367347 175276968 197186589 204489796 262915452 269328024 306734694 394373178 408979592 460102041 525830904 613469388 788746356 920204082 1226938776 1380306123 1577492712 1840408164 2760612246 3680816328 5521224492 11042448984