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11321436114772 = 2272593492805227
BaseRepresentation
bin1010010010111111101000…
…1011011000111101010100
31111002022121100102011102021
42210233322023120331110
52440442300121133042
640024555043022524
72245642512112300
oct244577213307524
944068540364367
1011321436114772
1136754375a0543
12132a20606aa44
136417b7312334
142b1d635d2d00
1514976ac0e867
hexa4bfa2d8f54

11321436114772 has 72 divisors (see below), whose sum is σ = 23505005412000. Its totient is φ = 4756137253056.

The previous prime is 11321436114757. The next prime is 11321436114809. The reversal of 11321436114772 is 27741163412311.

It is a super-2 number, since 2×113214361147722 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2633223 + ... + 5438449.

It is an arithmetic number, because the mean of its divisors is an integer number (326458408500).

Almost surely, 211321436114772 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 11321436114772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11752502706000).

11321436114772 is an abundant number, since it is smaller than the sum of its proper divisors (12183569297228).

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

11321436114772 is a wasteful number, since it uses less digits than its factorization.

11321436114772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805653 (or 2805644 counting only the distinct ones).

The product of its digits is 169344, while the sum is 43.

The spelling of 11321436114772 in words is "eleven trillion, three hundred twenty-one billion, four hundred thirty-six million, one hundred fourteen thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 59 98 118 196 236 349 413 698 826 1396 1652 2443 2891 4886 5782 9772 11564 17101 20591 34202 41182 68404 82364 144137 288274 576548 1008959 2017918 2805227 4035836 5610454 11220908 19636589 39273178 78546356 137456123 165508393 274912246 331016786 549824492 662033572 979024223 1158558751 1958048446 2317117502 3916096892 4634235004 6853169561 8109911257 13706339122 16219822514 27412678244 32439645028 47972186927 57762429157 95944373854 115524858314 191888747708 231049716628 404337004099 808674008198 1617348016396 2830359028693 5660718057386 11321436114772