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11431634445 = 32571117194069
BaseRepresentation
bin10101010010110000…
…01110011000001101
31002111200122012101100
422221120032120031
5141402444300240
65130203333313
7553200201210
oct125130163015
932450565340
1011431634445
114936950180
122270521239
131102493b4a
147a634b777
1546d900e30
hex2a960e60d

11431634445 has 96 divisors (see below), whose sum is σ = 26157530880. Its totient is φ = 4471326720.

The previous prime is 11431634443. The next prime is 11431634483. The reversal of 11431634445 is 54443613411.

11431634445 is a `hidden beast` number, since 1 + 14 + 3 + 1 + 634 + 4 + 4 + 5 = 666.

It is not a de Polignac number, because 11431634445 - 21 = 11431634443 is a prime.

It is a super-2 number, since 2×114316344452 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11431634443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38130 + ... + 155939.

It is an arithmetic number, because the mean of its divisors is an integer number (272474280).

Almost surely, 211431634445 is an apocalyptic number.

11431634445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11431634445 is an abundant number, since it is smaller than the sum of its proper divisors (14725896435).

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

11431634445 is a wasteful number, since it uses less digits than its factorization.

11431634445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194115 (or 194112 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 11431634445 in words is "eleven billion, four hundred thirty-one million, six hundred thirty-four thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 11 15 17 21 33 35 45 51 55 63 77 85 99 105 119 153 165 187 231 255 315 357 385 495 561 595 693 765 935 1071 1155 1309 1683 1785 2805 3465 3927 5355 6545 8415 11781 19635 58905 194069 582207 970345 1358483 1746621 2134759 2911035 3299173 4075449 6404277 6792415 8733105 9897519 10673795 12226347 14943313 16495865 19212831 20377245 23094211 29692557 32021385 36290903 44829939 49487595 61131735 69282633 74716565 96064155 108872709 115471055 134489817 148462785 181454515 207847899 224149695 254036321 326618127 346413165 544363545 672449085 762108963 1039239495 1270181605 1633090635 2286326889 3810544815 11431634445