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11683040512 = 281113337947
BaseRepresentation
bin10101110000101110…
…10000110100000000
31010011012200221200011
422320113100310000
5142411324244022
65211144034304
7562342130413
oct127027206400
933135627604
1011683040512
114a55854290
122320762994
1311425a9530
147cb8b1b7a
15485a11977
hex2b85d0d00

11683040512 has 144 divisors (see below), whose sum is σ = 27507759552. Its totient is φ = 4882268160.

The previous prime is 11683040497. The next prime is 11683040519. The reversal of 11683040512 is 21504038611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11683040519) by changing a digit.

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, 12336423 + ... + 12337369.

It is an arithmetic number, because the mean of its divisors is an integer number (191026108).

Almost surely, 211683040512 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 11683040512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13753879776).

11683040512 is an abundant number, since it is smaller than the sum of its proper divisors (15824719040).

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

11683040512 is a wasteful number, since it uses less digits than its factorization.

11683040512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 11683040512 in words is "eleven billion, six hundred eighty-three million, forty thousand, five hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 337 352 416 572 674 704 832 947 1144 1348 1408 1664 1894 2288 2696 2816 3328 3707 3788 4381 4576 5392 7414 7576 8762 9152 10417 10784 12311 14828 15152 17524 18304 20834 21568 24622 29656 30304 35048 36608 41668 43136 48191 49244 59312 60608 70096 83336 86272 96382 98488 118624 121216 135421 140192 166672 192764 196976 237248 242432 270842 280384 319139 333344 385528 393952 474496 541684 560768 638278 666688 771056 787904 948992 1083368 1121536 1276556 1333376 1542112 1575808 2166736 2553112 2666752 3084224 3151616 3510529 4148807 4333472 5106224 6168448 7021058 8297614 8666944 10212448 12336896 14042116 16595228 17333888 20424896 28084232 33190456 34667776 40849792 45636877 56168464 66380912 81699584 91273754 112336928 132761824 182547508 224673856 265523648 365095016 449347712 531047296 730190032 898695424 1062094592 1460380064 2920760128 5841520256 11683040512