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11432544345 = 3253741223751
BaseRepresentation
bin10101010010110111…
…01100100001011001
31002111202100102112100
422221123230201121
5141403212404340
65130235034013
7553211011035
oct125133544131
932452312470
1011432544345
114937411862
12227089b909
131102722051
147a65071c5
1546da30830
hex2a96ec859

11432544345 has 96 divisors (see below), whose sum is σ = 20969754624. Its totient is φ = 5754240000.

The previous prime is 11432544317. The next prime is 11432544371. The reversal of 11432544345 is 54344523411.

11432544345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11432544345 - 29 = 11432543833 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15222720 + ... + 15223470.

It is an arithmetic number, because the mean of its divisors is an integer number (218434944).

Almost surely, 211432544345 is an apocalyptic number.

11432544345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11432544345 is a deficient number, since it is larger than the sum of its proper divisors (9537210279).

11432544345 is a wasteful number, since it uses less digits than its factorization.

11432544345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1060 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 11432544345 in words is "eleven billion, four hundred thirty-two million, five hundred forty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 37 41 45 111 123 185 205 223 333 369 555 615 669 751 1115 1517 1665 1845 2007 2253 3345 3755 4551 6759 7585 8251 9143 10035 11265 13653 22755 24753 27429 27787 30791 33795 41255 45715 68265 74259 82287 83361 92373 123765 137145 138935 153955 167473 250083 277119 338291 371295 411435 416805 461865 502419 837365 1014873 1139267 1250415 1385595 1507257 1691455 2512095 3044619 3417801 5074365 5696335 6196501 6866393 7536285 10253403 15223095 17089005 18589503 20599179 30982505 34331965 51267015 55768509 61797537 92947515 102995895 254056541 278842545 308987685 762169623 1270282705 2286508869 3810848115 11432544345