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11198287689472 = 281343479163367
BaseRepresentation
bin1010001011110100110111…
…1101011011011100000000
31110122112201220220222100101
42202331031331123130000
52431433043122030342
635452231120532144
72234023002553342
oct242751575333400
943575656828311
1011198287689472
113628192509944
12130a377a81054
13632cbca76520
142aa000089292
1514645e6473b7
hexa2f4df5b700

11198287689472 has 144 divisors (see below), whose sum is σ = 24683676272640. Its totient is φ = 5037674213376.

The previous prime is 11198287689461. The next prime is 11198287689481. The reversal of 11198287689472 is 27498678289111.

It is a Smith number, since the sum of its digits (73) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11198287689395 and 11198287689404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68465133 + ... + 68628499.

It is an arithmetic number, because the mean of its divisors is an integer number (171414418560).

Almost surely, 211198287689472 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 11198287689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12341838136320).

11198287689472 is an abundant number, since it is smaller than the sum of its proper divisors (13485388583168).

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

11198287689472 is a wasteful number, since it uses less digits than its factorization.

11198287689472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163918 (or 163904 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 73.

The spelling of 11198287689472 in words is "eleven trillion, one hundred ninety-eight billion, two hundred eighty-seven million, six hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 256 344 416 479 559 688 832 958 1118 1376 1664 1916 2236 2752 3328 3832 4472 5504 6227 7664 8944 11008 12454 15328 17888 20597 24908 30656 35776 41194 49816 61312 71552 82388 99632 122624 143104 163367 164776 199264 267761 326734 329552 398528 535522 653468 659104 797056 1071044 1306936 1318208 1594112 2123771 2142088 2613872 2636416 4247542 4284176 5227744 5272832 7024781 8495084 8568352 10455488 14049562 16990168 17136704 20910976 28099124 33980336 34273408 41821952 56198248 67960672 68546816 78252793 91322153 112396496 135921344 156505586 182644306 224792992 271842688 313011172 365288612 449585984 543685376 626022344 730577224 899171968 1017286309 1252044688 1461154448 1798343936 2034572618 2504089376 2922308896 3364870099 4069145236 5008178752 5844617792 6729740198 8138290472 10016357504 11689235584 13459480396 16276580944 20032715008 23378471168 26918960792 32553161888 43743311287 53837921584 65106323776 87486622574 107675843168 130212647552 174973245148 215351686336 260425295104 349946490296 430703372672 699892980592 861406745344 1399785961184 2799571922368 5599143844736 11198287689472