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11076371072 = 271341179907
BaseRepresentation
bin10100101000011010…
…00000001010000000
31001120221010221122122
422110031000022000
5140141022333242
65031033023412
7541324413014
oct122415001200
931527127578
1011076371072
114774360588
122191554b68
1310769b7030
147710b0544
1544c627ad2
hex294340280

11076371072 has 128 divisors (see below), whose sum is σ = 24506193600. Its totient is φ = 4954152960.

The previous prime is 11076371039. The next prime is 11076371093. The reversal of 11076371072 is 27017367011.

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

It is a super-2 number, since 2×110763710722 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12211643 + ... + 12212549.

Almost surely, 211076371072 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 11076371072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12253096800).

11076371072 is an abundant number, since it is smaller than the sum of its proper divisors (13429822528).

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

11076371072 is a wasteful number, since it uses less digits than its factorization.

11076371072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 35.

The spelling of 11076371072 in words is "eleven billion, seventy-six million, three hundred seventy-one thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 179 208 328 358 416 533 656 716 832 907 1066 1312 1432 1664 1814 2132 2327 2624 2864 3628 4264 4654 5248 5728 7256 7339 8528 9308 11456 11791 14512 14678 17056 18616 22912 23582 29024 29356 34112 37187 37232 47164 58048 58712 68224 74374 74464 94328 95407 116096 117424 148748 148928 162353 188656 190814 234848 297496 297856 324706 377312 381628 469696 483431 594992 649412 754624 763256 939392 966862 1189984 1298824 1509248 1526512 1933724 2110589 2379968 2597648 3053024 3867448 4221178 4759936 5195296 6106048 6656473 7734896 8442356 10390592 12212096 13312946 15469792 16884712 20781184 26625892 30939584 33769424 53251784 61879168 67538848 86534149 106503568 135077696 173068298 213007136 270155392 346136596 426014272 692273192 852028544 1384546384 2769092768 5538185536 11076371072