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11073809792 = 271771229313
BaseRepresentation
bin10100101000000110…
…01110110110000000
31001120202022211020102
422110003032312000
5140134343403132
65030502101532
7541263554513
oct122403166600
931522284212
1011073809792
114772971221
12219071a8a8
1310762cb296
14770a04d7a
1544c2bdc62
hex2940ced80

11073809792 has 128 divisors (see below), whose sum is σ = 23867265600. Its totient is φ = 5099028480.

The previous prime is 11073809777. The next prime is 11073809833. The reversal of 11073809792 is 29790837011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35379428 + ... + 35379740.

Almost surely, 211073809792 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 11073809792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11933632800).

11073809792 is an abundant number, since it is smaller than the sum of its proper divisors (12793455808).

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

11073809792 is a wasteful number, since it uses less digits than its factorization.

11073809792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 47.

The spelling of 11073809792 in words is "eleven billion, seventy-three million, eight hundred nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 71 128 136 142 229 272 284 313 458 544 568 626 916 1088 1136 1207 1252 1832 2176 2272 2414 2504 3664 3893 4544 4828 5008 5321 7328 7786 9088 9656 10016 10642 14656 15572 16259 19312 20032 21284 22223 29312 31144 32518 38624 40064 42568 44446 62288 65036 71677 77248 85136 88892 124576 130072 143354 154496 170272 177784 249152 260144 276403 286708 340544 355568 377791 498304 520288 552806 573416 681088 711136 755582 1040576 1105612 1146832 1218509 1422272 1511164 2081152 2211224 2293664 2437018 2844544 3022328 4422448 4587328 4874036 5089067 6044656 8844896 9174656 9748072 10178134 12089312 17689792 19496144 20356268 24178624 35379584 38992288 40712536 48357248 77984576 81425072 86514139 155969152 162850144 173028278 325700288 346056556 651400576 692113112 1384226224 2768452448 5536904896 11073809792