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11042284188 = 223131919718911
BaseRepresentation
bin10100100100010101…
…11110001010011100
31001111120000011020110
422102022332022130
5140103311043223
65023414250020
7540431603235
oct122212761234
931446004213
1011042284188
114757099601
122182056910
13106c910a90
1476a75a08c
15449642d93
hex2922be29c

11042284188 has 96 divisors (see below), whose sum is σ = 29357475840. Its totient is φ = 3202295040.

The previous prime is 11042284147. The next prime is 11042284189. The reversal of 11042284188 is 88148224011.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11042284189) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574453 + ... + 593363.

It is an arithmetic number, because the mean of its divisors is an integer number (305807040).

Almost surely, 211042284188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11042284188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14678737920).

11042284188 is an abundant number, since it is smaller than the sum of its proper divisors (18315191652).

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

11042284188 is a wasteful number, since it uses less digits than its factorization.

11042284188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19147 (or 19145 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The spelling of 11042284188 in words is "eleven billion, forty-two million, two hundred eighty-four thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 197 228 247 394 494 591 741 788 988 1182 1482 2364 2561 2964 3743 5122 7486 7683 10244 11229 14972 15366 18911 22458 30732 37822 44916 48659 56733 75644 97318 113466 145977 194636 226932 245843 291954 359309 491686 583908 718618 737529 983372 1077927 1437236 1475058 2155854 2950116 3725467 4311708 4671017 7450934 9342034 11176401 14013051 14901868 18684068 22352802 28026102 44705604 48431071 56052204 70783873 96862142 141567746 145293213 193724284 212351619 283135492 290586426 424703238 581172852 849406476 920190349 1840380698 2760571047 3680761396 5521142094 11042284188