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11756849013 = 3271319977789
BaseRepresentation
bin10101111001100001…
…10100011101110101
31010100100120210220100
422330300310131311
5143034223132023
65222342024313
7564226365510
oct127460643565
933310523810
1011756849013
114a93486748
122341418099
13115497c6c0
147d7605d77
1548c240c43
hex2bcc34775

11756849013 has 96 divisors (see below), whose sum is σ = 22230790400. Its totient is φ = 5813710848.

The previous prime is 11756849011. The next prime is 11756849029. The reversal of 11756849013 is 31094865711.

It is not a de Polignac number, because 11756849013 - 21 = 11756849011 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11756849013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11756849011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1505523 + ... + 1513311.

Almost surely, 211756849013 is an apocalyptic number.

11756849013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11756849013 is a deficient number, since it is larger than the sum of its proper divisors (10473941387).

11756849013 is a wasteful number, since it uses less digits than its factorization.

11756849013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7931 (or 7928 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11756849013 in words is "eleven billion, seven hundred fifty-six million, eight hundred forty-nine thousand, thirteen".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 97 117 133 171 247 273 291 399 679 741 819 873 1197 1261 1729 1843 2037 2223 3783 5187 5529 6111 7789 8827 11349 12901 15561 16587 23367 23959 26481 38703 54523 70101 71877 79443 101257 116109 147991 163569 167713 215631 303771 443973 490707 503139 708799 755533 911313 1035937 1331919 1509417 1923883 2126397 2266599 3107811 5288731 5771649 6379191 6799797 9323433 9821929 13467181 14355127 15866193 17314947 29465787 40401543 43065381 47598579 68753503 88397361 100485889 121204629 129196143 186616651 206260509 301457667 559849953 618781527 904373001 1306316557 1679549859 3918949671 11756849013