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11668429944 = 23331710929153
BaseRepresentation
bin10101101110111111…
…00001110001111000
31010010012012122202000
422313133201301320
5142344104224234
65205502541000
7562104006123
oct126737416170
933105178660
1011668429944
114a48585136
122317897760
13113c562222
147c998b3ba
154845c7899
hex2b77e1c78

11668429944 has 128 divisors (see below), whose sum is σ = 34634952000. Its totient is φ = 3626975232.

The previous prime is 11668429939. The next prime is 11668429951. The reversal of 11668429944 is 44992486611.

11668429944 is a `hidden beast` number, since 116 + 68 + 429 + 9 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385672 + ... + 414824.

Almost surely, 211668429944 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 11668429944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17317476000).

11668429944 is an abundant number, since it is smaller than the sum of its proper divisors (22966522056).

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

11668429944 is a wasteful number, since it uses less digits than its factorization.

11668429944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29294 (or 29284 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 11668429944 in words is "eleven billion, six hundred sixty-eight million, four hundred twenty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 109 136 153 204 216 218 306 327 408 436 459 612 654 872 918 981 1224 1308 1836 1853 1962 2616 2943 3672 3706 3924 5559 5886 7412 7848 11118 11772 14824 16677 22236 23544 29153 33354 44472 50031 58306 66708 87459 100062 116612 133416 174918 200124 233224 262377 349836 400248 495601 524754 699672 787131 991202 1049508 1486803 1574262 1982404 2099016 2973606 3148524 3177677 3964808 4460409 5947212 6297048 6355354 8920818 9533031 11894424 12710708 13381227 17841636 19066062 25421416 26762454 28599093 35683272 38132124 53524908 54020509 57198186 76264248 85797279 107049816 108041018 114396372 162061527 171594558 216082036 228792744 324123054 343189116 432164072 486184581 648246108 686378232 972369162 1296492216 1458553743 1944738324 2917107486 3889476648 5834214972 11668429944