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11446155006135 = 3517538919947819
BaseRepresentation
bin1010011010010000010000…
…0000001101000010110111
31111112020112020000021220220
42212210010000031002313
53000013211140144020
640202142505425423
72260646251153413
oct246440400150267
944466466007826
1011446155006135
113713318111583
12134a41219b273
136504a20430c5
142b7dd5543d43
1514cb1a0e0240
hexa690400d0b7

11446155006135 has 128 divisors (see below), whose sum is σ = 20079809280000. Its totient is φ = 5545651617792.

The previous prime is 11446155006133. The next prime is 11446155006149. The reversal of 11446155006135 is 53160055164411.

It is a happy number.

It is not a de Polignac number, because 11446155006135 - 21 = 11446155006133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11446155006133) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 239340256 + ... + 239388074.

It is an arithmetic number, because the mean of its divisors is an integer number (156873510000).

Almost surely, 211446155006135 is an apocalyptic number.

11446155006135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11446155006135 is a deficient number, since it is larger than the sum of its proper divisors (8633654273865).

11446155006135 is a wasteful number, since it uses less digits than its factorization.

11446155006135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48185.

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 11446155006135 in words is "eleven trillion, four hundred forty-six billion, one hundred fifty-five million, six thousand, one hundred thirty-five".

Divisors: 1 3 5 15 17 51 53 85 89 159 199 255 265 267 445 597 795 901 995 1335 1513 2703 2985 3383 4505 4539 4717 7565 10149 10547 13515 14151 16915 17711 22695 23585 31641 47819 50745 52735 53133 70755 80189 88555 143457 158205 179299 239095 240567 265665 301087 400945 537897 717285 812923 896495 903261 938683 1202835 1505435 2438769 2534407 2689485 2816049 4064615 4255891 4516305 4693415 7603221 9515981 12193845 12672035 12767673 14080245 15957611 21279455 28547943 38016105 43084919 47579905 47872833 63838365 72350147 79788055 129254757 142739715 161771677 215424595 217050441 225562223 239364165 361750735 485315031 504346993 646273785 676686669 808858385 846922309 1085252205 1127811115 1513040979 2426575155 2521734965 2540766927 3383433345 3834557791 4234611545 7565204895 8573898881 11503673373 12703834635 14397679253 19172788955 25721696643 42869494405 43193037759 44886882377 57518366865 71988396265 128608483215 134660647131 215965188795 224434411885 673303235655 763077000409 2289231001227 3815385002045 11446155006135