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11966655712 = 2511314723333
BaseRepresentation
bin10110010010100010…
…01010110011100000
31010212222101002120211
423021101022303200
5144001430440322
65255234543504
7602354616034
oct131121126340
933788332524
1011966655712
115090957610
12239b737b94
13118928b58b
1481741c1c4
154a0885b77
hex2c944ace0

11966655712 has 96 divisors (see below), whose sum is σ = 27095814144. Its totient is φ = 5151705600.

The previous prime is 11966655689. The next prime is 11966655719. The reversal of 11966655712 is 21755666911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11966655719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501198 + ... + 524530.

It is an arithmetic number, because the mean of its divisors is an integer number (282248064).

Almost surely, 211966655712 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 11966655712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547907072).

11966655712 is an abundant number, since it is smaller than the sum of its proper divisors (15129158432).

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

11966655712 is a wasteful number, since it uses less digits than its factorization.

11966655712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23432 (or 23424 counting only the distinct ones).

The product of its digits is 680400, while the sum is 49.

The spelling of 11966655712 in words is "eleven billion, nine hundred sixty-six million, six hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 47 62 88 94 124 176 188 248 341 352 376 496 517 682 752 992 1034 1364 1457 1504 2068 2728 2914 4136 5456 5828 8272 10912 11656 16027 16544 23312 23333 32054 46624 46666 64108 93332 128216 186664 256432 256663 373328 512864 513326 723323 746656 1026652 1096651 1446646 2053304 2193302 2893292 4106608 4386604 5786584 7956553 8213216 8773208 11573168 12063161 15913106 17546416 23146336 24126322 31826212 33996181 35092832 48252644 63652424 67992362 96505288 127304848 135984724 193010576 254609696 271969448 373957991 386021152 543938896 747915982 1087877792 1495831964 2991663928 5983327856 11966655712