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11376685857159 = 32721747137235673
BaseRepresentation
bin1010010110001101011101…
…0100011011100110000111
31111021121012210112212202100
42211203113110123212013
52442343423034412114
640110213300443143
72252636611142400
oct245432724334607
944247183485670
1011376685857159
113696909638767
121338a650a94b3
13646a80892cac
142b48c52349a7
1514ae013dd909
hexa58d751b987

11376685857159 has 144 divisors (see below), whose sum is σ = 20822012834688. Its totient is φ = 5944635777024.

The previous prime is 11376685857157. The next prime is 11376685857269. The reversal of 11376685857159 is 95175858667311.

11376685857159 is a `hidden beast` number, since 1 + 1 + 37 + 6 + 6 + 8 + 585 + 7 + 1 + 5 + 9 = 666.

It is not a de Polignac number, because 11376685857159 - 21 = 11376685857157 is a prime.

It is a super-2 number, since 2×113766858571592 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11376685857157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48155347 + ... + 48391019.

It is an arithmetic number, because the mean of its divisors is an integer number (144597311352).

Almost surely, 211376685857159 is an apocalyptic number.

11376685857159 is a deficient number, since it is larger than the sum of its proper divisors (9445326977529).

11376685857159 is a wasteful number, since it uses less digits than its factorization.

11376685857159 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235894 (or 235884 counting only the distinct ones).

The product of its digits is 381024000, while the sum is 72.

The spelling of 11376685857159 in words is "eleven trillion, three hundred seventy-six billion, six hundred eighty-five million, eight hundred fifty-seven thousand, one hundred fifty-nine".

Divisors: 1 3 7 9 17 21 47 49 51 63 119 137 141 147 153 329 357 411 423 441 799 833 959 987 1071 1233 2303 2329 2397 2499 2877 2961 5593 6439 6713 6909 6987 7191 7497 8631 16303 16779 19317 20139 20727 20961 39151 45073 48909 50337 57951 60417 109463 114121 117453 135219 146727 235673 315511 328389 342363 352359 405657 707019 766241 946533 985167 1027089 1649711 2121057 2298723 2839599 4006441 4949133 5363687 6896169 11076631 11547977 12019323 14847399 16091061 28045087 32287201 33229893 34643931 36057969 48273183 77536417 84135261 96861603 99689679 103931793 188302727 196315609 226010407 232609251 252405783 290584809 542754919 548882417 564908181 588946827 678031221 697827753 1318119089 1517498447 1582072849 1628264757 1646647251 1694724543 1766840481 2034093663 3842176919 3954357267 4552495341 4746218547 4884794271 4939941753 9226833623 10622489129 11526530757 11863071801 13657486023 14238655641 25797473599 26895238433 27680500869 31867467387 34579592271 74357423903 77392420797 80685715299 83041502607 95602402161 180582315193 223072271709 232177262391 242057145897 541746945579 669216815127 1264076206351 1625240836737 3792228619053 11376685857159